Question

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

Answer 1

the side length x is;

`13.45\text{ units}`

Step-by-step 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}`