Question

The lengths of the two legs in a triangle are 10 and 24. What is the length of the hypotenuse?OSubmitсab

Answer 1

The length of the hypotenuse is;

`26\text{ units}`

Step-by-step explanation:

Given the triangle in the attached image.

The length of the two legs given as;

`\begin{gathered} a=10 \\ b=24 \end{gathered}`

Applying Pythagorean thereom;

`\begin{gathered} a^2+b^2=c^2 \\ c=\sqrt[]{a^2+b^2} \end{gathered}`

substituting the given values;

`\begin{gathered} c=\sqrt[]{10^2+24^2} \\ c=\sqrt[]{100+576} \\ c=\sqrt[]{676} \\ c=26 \end{gathered}`

Therefore, the length of the hypotenuse is;

`26\text{ units}`