You can use the Pythagorean relationship to know if a triangle is right triangle or not. The "a" and "b" on a right triangle represents the legs. The "c" is called the hypotenuse. If you add both side lengths of a and b you will get the hypotenuse. You can also determine a missing side length using one of this formulas

a²= c² - b²

b²= c² - a²

c²= a² +b²

2. Solve for the missing side length.

c²= a² +b²

c²= 12cm+5cm

c²= (12x12)+(5x5)

c²= 144cm²+25cm²

c²= 169cm²

√ c² = 169cm²

√ c =

**13cm**3. Is this a right triangle? Prove it!!!

YES!

c²= a² +b²

c²= 8cm+6cm

c²= (8x8)+(6x6)

c²= 64cm²+36cm²

c²= 100cm²

√ c² = 100cm²

√ c =

**10cm**
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