Chapter 9, Problem 11CT

To determine

Tofind:The triangle is right angled or not

Answer to Problem 11CT

A right triangle

Explanation of Solution

Given information:

Sides of triangle- $a=24,b=45,c=51$

Concept Used:

Converse of Pythagoras theorem-

For a triangle with sides - $a,b,c$ if-

  $a^2+b^2=c^2$

Then the triangle is right angled.

Calculation:

  $\begin{array}{l}{a}^2+b^2=c^2\\ \Rightarrow {\left(24\right)}^2+{\left(45\right)}^2={\left(51\right)}^2\\ \Rightarrow 576+2025=2601\\ \Rightarrow 2601=2601\mathrm{...}\left(\text{true}\right)\end{array}$

Therefore, the triangle is a right angled.