Find the length of the hypotenuse of the right triangle shown here

(1) 5

Explanation

We will use the Pythagorean theorem to find the length of the hypotenuse.  If we know the lengths of any two sides of a right triangle, we can find the length of the third side using the Pythagorean theorem.

We will let \(a\) = 3 and \(b\) = 4, and substitute into the Pythagorean equation to find c

 

This is the Pythagorean equation

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

Substitute 3 for a and 4 for b

$3^2 + 4^2 = c^2$

Evaluate each exponential expression