Liyanah's Pythagorean Post

1. Answer in a short paragraph and with diagrams





a² + b² = c²:
The Pythagorean Relationship means that the two legs (a & b) both equal to the hypotenuse. So for example we had the two legs (a &b) which are 3 and 4, and the hypotenuse is 5. Now you use the Pythagorean Relationship which is a² + b² = c² and put the numbers in now so this is how the steps would go:

a² + b² = c²
3² + 4² = 5²
(3x3) + (4x4) = (5x5)
9cm + 16cm = 25cm
25 = 25 - therefore, it is a right triangle

Here is a picture of what the triangle looks like:

2. Solve for the missing side length.










My answer:








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










My answer: