Question

How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?

Answer 1

we know that

In a right triangle we have

two legs and one hypotenuse

Let

a,b -----> the legs of the right triangle

c-----> the hypotenuse of the right triangle (the greater side)

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

therefore

the answer is

The length of the hypotenuse squared is the length of one leg squared plus the length of another leg squared

Answer 2

Length of hypotenuse= sum of squares of lengths of the legs