Chapter 9, Problem 12CT

To determine

Tofind:The triangle is right angled or not

Answer to Problem 12CT

Not a right triangle

Explanation of Solution

Given information:

Sides of triangle- $a=5,b=13,c=15$

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:

  $\begin{array}{l}{a}^2+b^2=c^2\\ \Rightarrow {\left(5\right)}^2+{\left(13\right)}^2={\left(15\right)}^2\\ \Rightarrow 25+169=225\\ \Rightarrow 194=225\mathrm{...}\left(\text{not true}\right)\end{array}$

Therefore, the triangle is not a right angled.