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

Find the hypotenuse of the triangle using the Pythagorean theorem. Enter only the-example-1
User Thaking
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1 Answer

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Step-by-step 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 \\ $$\text{ Apply square root to both sides of the equation}$$ \\ โˆš(625)=โˆš(x^2) \\ 25=x \end{gathered}Answer

The measure of the hypotenuse is 25.

Find the hypotenuse of the triangle using the Pythagorean theorem. Enter only the-example-1
User Chatzich
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