Chapter 0.7, Problem 5E

To determine

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

Answer to Problem 5E

The length of missing measure is 5units.

Explanation of Solution

Given information:

  $a=?,b=12,c=13$

The diagram is shown below for given parameters,

  

Applying Pythagoras theorem,

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ a^2+{12}^2={13}^2\\ a^2=169-144\\ a^2=25\\ a=5units\end{array}$

So,

The length of missing measure is 5units.