Chapter 9, Problem 9CT

To determine

Tofind:The triangle is right angled or not

Answer to Problem 9CT

Not a right triangle

Explanation of Solution

Given information:

Sides of triangle- $a=4,b=5,c=6$

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:

  $\begin{array}{l}{a}^2+b^2=c^2\\ \Rightarrow {\left(4\right)}^2+{\left(5\right)}^2={\left(6\right)}^2\\ \Rightarrow 16+25=36\\ \Rightarrow 41=36\mathrm{...}\left(\text{not true}\right)\end{array}$

Therefore, the triangle is not a right angled.