Question

Which equation can be used to find x,the length of the hypotenuse of the right triangle

Answer 1

a^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
18^2 + 24^2 = x^2 <==

** the hypotenuse is always the longest side..it is the side opposite the right angle

Answer 2

`x^(2)=24^(2)+18^(2)`

Explanation:

we know that

The Pythagoras Theorem states that in a right triangle

`c^(2)=a^(2)+b^(2)`

where

c is the hypotenuse

a,b are the legs of the right triangle

In this problem we have

`a=24\ units, b=18\ units, c=x\ units`

substitute

`x^(2)=24^(2)+18^(2)`