Chapter 0, Problem 34PO

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 34PO

The triangle is a right angle triangle.

Explanation of Solution

Given information :

  $a=21cm,b=72cm,c=75cm$

The diagram related to the given parameters is shown below,

Applying the Pythagoras theorem,

  $\begin{array}{c}{\left(21cm\right)}^2+{\left(72cm\right)}^2={\left(75cm\right)}^2\\ 441c{m}^2+5184c{m}^2=5625c{m}^2\\ 5625c{m}^2=5625c{m}^2\end{array}$

So, it does satisfy Pythagoras theorem.

Therefore, the triangle is a right angle triangle.