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Showing posts with label pythagoras. Show all posts
Showing posts with label pythagoras. Show all posts

Monday, February 13, 2012

Oudorn's Textbook Questions (12,14,17)

12. While shopping online, Ji Hun finds a square rug with the area of 11 m squared. He needs to know if it will fit his 4m x 5m bedroom.

a)Estimate the side length of the rug, to one decimal place














b)Check your estimate with a calculator.

Square root of 11=3.316

c) Will the rug fit? Explain.
Yes it will, because the area of the room is 20m²

14. Alex is thinking of a number. The number has a square root between 7 and 8, and a multiple of 12.

a) What number could he be thinking of?

60

b) Is there more than one answer? Explain.
No, because 60 is the only number that is between the square root of 7 and 8 that is a multiple of 12.

17. Carmel wants to mount an 18cm x 18cm square picture on a square board that is four times the area or the picture

a) What is the area of the picture?











Area = 324cm²

b) What is the area of the board?

324 x 324 = 1296cm²

c) What are the dimensions of the board?

Square root of 1296= 36cm

36 x 36 = 1296cm²

Pythagorean Relationship

1.Answer in short paragraph and with diagrams

a² + b² = c² is a formula. If you take the legs of the triangle( a and b), square them, then add them, you will get c²(hypotenuse²). You can determain if the triangle is a right triangle or not by doing a² + b² = c².

2. Solve for the missing side length.












C²= A²(5cm)+B²(12cm)
C²=5²+12²
C²=(5x5)+(12x12)
C²=25+144
C²=169
C= square root of 169
C= 13cm


3.Is this a right triangle? Prove it!!!

Pythagoras + Textbook Questions



Adrian's Pythagorean Relationship Post

1. Answer in a short paragraph and with diagrams
The two legs Leg A and Leg B are equal to c which is called the hypotenuse.









2.Solve the missing side length
a+b=c
a=(12x12)+(5x5)
a=(144)(25)
a=144+25=169cm
missing side length=169cm2









3.Is it a right triangle?

a+b=c
(8x8)+(6x6=(11x11)
64+36=121

It is not a right triangle because the legs arent equal to the hypotenuse.

Textbook Questions

19. estimate the square root of 160 100

square root of 100 =40
square root of 160=10

10x40=400

6. What is an example of a whole number that has a square root
between 9 and 10. answer 81


Terence's Pythagoras Scribe Edit


1. Answer a short paragraph with diagrams.

Explain the Pythagorean Relationship.

The two legs which are A and B equal the hypotenuse which is C. The C may also equal A or B if you subtract. If you subtract C with A it may equal the B and

the same thing goes for C-B. If you do A+B=C, B=A-C, and A=B-C it will show if you have a right triangle and those are the formulas.

2. Solve the missing side length

A=12 cm
B=5 cm

A+B=C
(12x12)+(5x5)=
144+25=169
C=169cm2
C=13











3. Is this a right triangle? Prove it!!!

A=8 cm
B=6 cm
C=11 cm

A+B=C
(8x8)+(6x6)=(11x11)
64+36=(100) 121

It is not a right triangle because 64+36=100 not 121.






Textbook Questions

0. Kai uses an entire can of paint on a square backdrop for the school play. The label on can states that one can cover 27 m squared of wall surface. Estimate the backdrop's side length to one decimal place.

Answer 5.2 m √27 = 5.2

19. Estimate the square root of 160 100. Explain how you determined your estimate.

√160= 40
√100= 10
40x10= 400 answer 400


A) The area of the picture is 324 m2.
B) The area of the board is 1296 m2.
C) The dimensions of the board is 36 x 36.

Sunday, February 12, 2012

Textbook post









































































Question 12
A) 3.2 m










B) Calculator - 3.316
C) It will fit because the are
a of his bedroom is 20m2 and the rug's area is 11 m2


Question 10
A




















Question 4


















Thursday, February 9, 2012

Jay Jay Textbook Questions


17.
a). What is the area of the picture?
324cm²
b).What is the area of the board?
1296cm²
c).What are the dimensions of the board?
36cm²

19. Estimate the square root of 160 100. Explain how you determined your estimate.

160 = 40
100 = 10
40x10= 400
6. What is an example of a whole number that has a square root between 9 and 10.
81

Sunday, February 5, 2012

TextBook Questions Page 92-93 #5, 9, 13

5.A right triangle has side lengths of 40mm, 75mm, and 85mm.
a)Sketch the triangle. Draw a square on each side of the triangle.
b)What are the areas of the three squares.
c)Write an addition statement with the areas of the three squares.

a)








b)40mm= 40x40= 1,600
75x75= 5,625
85x85= 7,225
c) 1600+5625+7226= 14,451 mm

9.Calculate the areas of the three squares
b) Is this triangle a right triangle? Explain.






4cm= 4x4=16cm
2x2= 4cm
3x3= 9cm

b) No because 2+3 cm squared has to equal 4cm squared but it does not. 9+4 does not equal 16.



13. A small triangular flower bed has a square stepping stone at each of its sides. Is the flower bed in the shape of a right triangle? Explain your reasoning.

It is not a right triangle because the 2 legs (4800cm) has to equal the hypotenuse (9800cm) if u add them up. 4800+4800=9600 cm
not 9800cm.

Thursday, January 26, 2012

Masynne's Square Root Scribe Post



For each of the following, use perfect squares to estimate the square root to the one decimal place.







A) Identify a whole number with a square root between 8 and 9.

















Sunday, January 22, 2012

Patricia`s textbook questions

10 Kai uses an entire can of paint on a square backdrop for the school play. The label on can states that one can cover 27 m squared of wall surface. Estimate the backdrop's side length to one decimal place.
5.2 m


19 Estimate the square root of 160 100. Explain how you determined your estimate

160=40
100=10
40x10=400

17 Carmel want to mount an 18cm by 18cm square on a square board that is four times the area of the picture.

a) What is the area for the picture.
18x18=324cm2
b)What is the area of the board
324x4=1296cm2
c)What are the dimensions of the board.
1296=36cm





Aicelle's Textbook Questions

4.) Estimate the square root of each number, to one decimal place. Check with a calculator.
a.)72 b.)103 c.)55


















12.)While shopping online, Ji Hun finds square rug with an area of 11m². He needs to know if it will fit in his 4m x 5m bedroom.

a.) Estimate the side length of the rug, to one decimal place.
b.) Check your estimate with a calculator.
c.) Will the rug fit? Explain.

















20.) What is the smallest natural number value for n if the solution for √56n also a natural number?















Pythagorean Relationship

1. A pythagorean relationship is the area of the legs add together, and equals to the area of the hypothenuse.














2. Solve the missing side length.
















3. Is this a right triangle? Prove it!!!


TextBook Questions pages 98-100 #6, 15, 17 Dom817

6. What is an example of a whole number that has a square root between 9 and 10.

An example of a whole number that has a square root between 9 and 10 is 82

15. Order the following numbers from least to greatest: 7, square root 46, 5.8, square root 27, 6.3

Sqaure root 27, 5.8, 6.3, square root 46, 7

17. Carmel wants to mount an 18 cm x 18 cm square picture on a square board that is four times the area of the picture.

a) What is the area of the picture?
b) What is the area of the board?
c) What are the dimensions of the board?

a) 324cm squared
b) 1296cm squared
c) 36 cm squared

Ashley's Textbook Questions

10. Kai uses an entire can of paint on a square backdrop for the school play. The label on can states that one can cover 27M2 of wall surface. Estimate the backdrop's side length to one decimal place.

Answer: 5.2 m

12. While shopping online, Ji Hun finds a square rug with an area of 11m2 . He needs to know if it will fit in his 4M x 5M bedroom.
A) Estimate the side length of the rug, to one decimal place.
√11= 3.3m
B) Will the rug fit? Explain.
Yes, it will fit because the side of the rug is smaller than the shorter side of the room.

19. Estimate the square root of 160 100. Explain how you determined your estimate.

Answer: 400


Textbook questions

10. Kai uses an entire can of paint on a square backdrop for the school play. The label on can states that one can cover 27 m squared of wall surface. Estimate the backdrop's side length to one decimal place.

Answer 5.2 m √27 = 5.2

19. Estimate the square root of 160 100. Explain how you determined your estimate.

√160= 40
√100= 10
40x10= 400 answer 400


A) The area of the picture is 324 m2.
B) The area of the board is 1296 m2.
C) The dimensions of the board is 36 x 36.

Joseph's Textbook Questions




10.Kai uses an entire can of paint on a square backdrop for the school play. The label on the can states that one can covers 27m squared of wall surface. Estimate the backdrop's side length, to one decimal place.











Answer: 5.1



13. Stella is planning an outdoor wedding. She would like a square dance floor with an area of 115m squared.











a)Determine the side length of the dance floor, to the nearest tenth of a metre





b) Stella finds our that the dance floor will be made up of floorboards that each measure 1cm squared. What are the 2 side lengths the dance floor can have that are closest to what she wants?





c)Which area will Stella choose?Explain



b)






c)121 is closer because it is much closer to 115m squared.





16. A fitness centre will install a square hot tub in a 6m x 6m room. They want the tub to fill no more than 75% of the room's area.




a)What is the maximum area of the hot tub?
b) What dimensions, to a tenth of a metre will the fitness centre order from the manufacturer?Explain




a) 27

















b)5.1 If u square root 27 you will get 5.1

Ace's Textbook Questions Post


Textbook Questions


11. A square has an area of 20cm 2
a) Use perfect squares to estimate the side length to 1 decimal.
















b) Check you answer using a ruler to measure the side of the square.
Measure to the nearest tenth of a centimeter.














14. Alex is thinking of a number.
The number has a square that is between 7 and 8.
It is a multiple of 12
a) What number could he be thinking of?
b)Is there more than 1 answer? Explain.














Page 100
15. Order these numbers from least to greatest.
7, square root of 46, 5.8, square root of 27, 6.3















Here's a video that may help:



HOMEWORK: Pages 98, 99, and 100 of the textbook. Also don't forget to play Mangahigh


Pythagoras Scribe Edit



1. Explain the Pythagorean relationship;



















2. Solve for the missing side length.


















3. Is this a right triangle? Prove it.


Gurpreet's Textbook Questions


Here is something you should know make answering these questions easier




Textbook questions #10,#12 and#17

#10
Kai uses an entire can of paint on the square backdrop for the school play. The label on the can states that one can cover 27m2 of wall surface. Estimate the backdrop's side length to one decimal place.


Way to get this
  1. You make a number line
  2. Find the halfway point and find what number it is
  3. Add your number and find where it goes


#17

Carmel want to mount an 18cm by 18cm square on a square board that is four times the area of the picture.

a) What is the area for the picture.
b)What is the area of the board
c)What are the dimensions of the board.




Way to get this

  1. To get the answer for a) you have to multiply 18cm by 18cm and you get the answer
  2. To get the answer for b) you mulitply the area of the board which is 324 by 4 because the area of the board is 4 times of the picture
  3. To get the dimension of the board you find the square root of 1296cm which is 36cm. You have to do this in your calculator.
#12

While shopping online, Ji Hun finds square rug with an area of 11 m2. He needs to know if it will fit in his 4 m times 5 m bedroom


a) Estimate the side lengths of the rug to one decimal place.
b) Check your estimate with a calculator
c) Will the rug fit? Explain.





B) When you check on the caluclator it says 3.3 m
C) Yes the rug will fit becuasse the room is 20 m2 . The rug is only 11m by 9m

I tried uploading a video but it wont work so sorry for that but I'll try to add one if I can later

Here is a link to help

Hope you liked it.

Parent Quiz

a(squared) + b(squared) = C(squared)
This Pythagorean Relationship means that the legs of the right triangle together equals to the hypotenuse, which is the longest side length of the right triangle. If the side lengths of the right triangle were not squared you would have to square them.Squared means to times it's number by it self, so it would be 6
x6. So now you multiply the numbers, so oyu would multiply them 6x6 equals 36 and the other leg and together it would equal the hypotenuse.















Textbook Questions

I will be answering the 3 Textbook Questions # 10, 12 and 17.

For Number 10 it says:
The answer to that question is approximately 5.2. I got that answer by doing the following:



For Number 12, it says:

A)
Approximately 3.2 m.

B) According to the calculator, the right answer is 3.3 m

C) Yes, the rug will fit because the area of the room is 20^2 m, therefore, it is bigger than the rug which is 11 m^2 by 9 m.




For Number 17 it says:

A) The area of the picture is 324 m^2. I got that answer by going 18 x 18.

B) The area of the board is 1296 m^2. I got that answer by multiplying 18x18's product by 4.

C) The dimensions of the board is 36 x 36. I got the answer by finding the root of 1296 on a calculator.

Here is a game that may help you with remembering the perfect square numbers:

PARENT QUIZ:

1. The Pythagorean Relationship states that the ares areas of the two shortest sides of the right triangle, the legs, is supposed to equal the area of the longest side--the hypotenuse. The formulae for the Pythagorean Relationship is a² + b² = c². (C must always be the hypotenuse.)

2. c² = a² + b²
c² = 12² + 5²
c² = 144 cm + 25 cm
c² = 169 cm
Square root of 169 cm = 13 cm
c = 13 cm

3. c² = a² + b²
11² = 8 cm² + 6cm²
(8 x) + (6 x 6) = (11 x 11)
64 + 36 = 121
100 =/ 121
No, this is not a right triangle because the hypotenuse do not equal the legs therefore the formula c² = a² + b² does not work with it.