Chapter 0.7, Problem 7E

To determine

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

Answer to Problem 7E

The length of missing measure is 9.22units.

Explanation of Solution

Given information:

  $a=2,b=9,c=?$

The diagram is shown below for given parameters,

  

Applying Pythagoras theorem,

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ 2^2+9^2=c^2\\ c^2=85\\ c=9.22units\end{array}$

So,

The length of missing measure is 9.22units.