Chapter 0.8, Problem 8E

To determine

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

Answer to Problem 8E

The length of missing measure is 11. 532units .

Explanation of Solution

Given information :

  $a=6,b=?,c=13$

The diagram is shown below for given parameters,

  

Applying Pythagoras theorem,

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ 6^2+b^2={13}^2\\ b^2=169-36\\ b^2=133\\ c=11.53units\end{array}$

So,

The length of missing measure is 11. 532units .