Chapter 0.7, Problem 6E

To determine

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

Answer to Problem 6E

The length of missing measure is 48units.

Explanation of Solution

Given information:

  $a=14,b=?,c=50$

The diagram is shown below for given parameters,

  

Applying Pythagoras theorem,

So,

  $\begin{array}{c}{\left(a\right)}^2+{\left(\text{b}\right)}^2={\left(\text{c}\right)}^2\\ {\left(14\right)}^2+b^2={50}^2\\ b^2=2500-196\\ b^2=2304\\ b=48units\end{array}$

So,

The length of missing measure is 48units.