Chapter 0, Problem 34PR

To determine

To evaluate: whether triangle is a right triangle in which the lengths of three sides of a triangle are given.

Answer to Problem 34PR

The triangle is a right angle triangle.

Explanation of Solution

Given information :

  $a=44mm,b=60mm,c=75mm$

The diagram related to the given parameters is shown below,

Applying the Pythagoras theorem,

  $\begin{array}{c}{\left(60mm\right)}^2+{\left(45mm\right)}^2={\left(75mm\right)}^2\\ 3600m{m}^2+2025m{m}^2=5625c{m}^2\\ 5625m{m}^2=5625m{m}^2\end{array}$

So, it does satisfy Pythagoras theorem.

Therefore, the triangle is a right angle triangle.