Question

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.109

Answer 1

Answer:

the side length x is;

$13.45\text{ units}$

Explanation:

Given the right triangle in the attached image.

To calculate the value of x, Let us apply the Pythagorean theorem;

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

From the given triangle;

$\begin{gathered} a=10 \\ b=9 \\ c=x \end{gathered}$

substituting the values;

$\begin{gathered} c=\sqrt[]{a^2+b^2} \\ x=\sqrt[]{10^2+9^2} \\ x=\sqrt[]{100+81} \\ x=\sqrt[]{181} \\ x=13.45 \end{gathered}$

Therefore, the side length x is;

$13.45\text{ units}$