Chapter 0.7, Problem 9E

To determine

To evaluate: the missing measure in the right angle triangle.

Answer to Problem 9E

The length of missing measure is 8.49units.

Explanation of Solution

Given information:

  $a=?,b=7,c=11$

The diagram is shown below for given parameters,

  

Applying Pythagoras theorem,

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ a^2+7^2={11}^2\\ a^2=121-49\\ b^2=72\\ c=8.49units\end{array}$

So,

The length of missing measure is 8.49units.