Chapter 0, Problem 28PO

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 28PO

The triangle is a right angle triangle.

Explanation of Solution

Given information:

  $a=30m,b=16m,c=34m$

The diagram related to the given parameters is shown below,

  

Applying the Pythagoras theorem,

  $\begin{array}{c}{\left(30m\right)}^2+{\left(16m\right)}^2={\left(34m\right)}^2\\ 900m^2+256m^2=1156m^2\\ 1156m^2=1156m^2\end{array}$

So, it does satisfy Pythagoras theorem.

Therefore, the triangle is a right angle triangle.