Chapter 11, Problem 41CLR

To determine

To find: The length of third side to nearest hundredth.

Answer to Problem 41CLR

The length of other side is $7.48\text{cm}$ .

Explanation of Solution

Given information:

The hypotenuse of triangles are $9\text{cm}$ and other side is $5\text{cm}$ .

Calculation:

Use Pythagorean theorem.

  $c^2=a^2+b^2$

Substitute the values in equation.

  $\begin{array}{c}{\left(9\text{cm}\right)}^2={\left(5\text{cm}\right)}^2+b^2\\ b^2={\left(9\text{cm}\right)}^2-{\left(5\text{cm}\right)}^2\\ b=\sqrt{81-25}\\ b=7.48\end{array}$

Therefore, the length of other side is $7.48\text{cm}$ .