Question

Find the hypotenuse of the triangle using the Pythagorean theorem. Enter only the number into the answer space.

Answer 1

Explanation

We use the Pythagorean theorem formula to find the hypotenuse.

$\begin{gathered} a^2+b^2=c^2 \\ \text{ Where} \\ a\text{ and }b\text{ are the legs} \\ c\text{ is the hypotenuse} \end{gathered}$

Then, we have:

$\begin{gathered} a=24 \\ b=7 \\ c=x \end{gathered}$$\begin{gathered} a^{2}+b^{2}=c^{2} \\ 24^2+7^2=x^2 \\ 576+49=x^2 \\ 625=x^2 \\ \text{ Apply square root to both sides of the equation} \\ \sqrt{625}=\sqrt{x^2} \\ 25=x \end{gathered}$Answer

The measure of the hypotenuse is 25.