Chapter 0, Problem 33PR

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 33PR

The triangle is a right angle triangle.

Explanation of Solution

Given information :

  $a=15km,b=20km,c=25km$

The diagram related to the given parameters is shown below,

Applying the Pythagoras theorem,

  $\begin{array}{c}{\left(20km\right)}^2+{\left(15km\right)}^2={\left(25km\right)}^2\\ 400k{m}^2+225k{m}^2=625k{m}^2\\ 625k{m}^2=625k{m}^2\end{array}$

So, it does satisfy Pythagoras theorem.

Therefore, the triangle is a right angle triangle.