Question

The legs of a right triangle are $10cm$ and $24cm$ long.

What is the length of the hypotenuse?

• A. $22cm$
• B. $26cm$
• C. $30cm$
• D. $34cm$

Answer 1

The correct option is B

$26cm$

Explanation for the correct option:

On solving with the help of Pythagorean theorem, we get:

$$\begin{gathered} {\mathrm{H}}^2={\mathrm{P}}^2+{\mathrm{B}}^2 \\ \Rightarrow {\mathrm{H}}^2={\left(10\right)}^2+{\left(24\right)}^2\Rightarrow {\mathrm{H}}^2=100+576 \\ \Rightarrow {\mathrm{H}}^2=676 \\ \Rightarrow \mathrm{H}=26 \end{gathered}$$

Hence, option $\left(B\right)$ is the correct answer.