Chapter 9.8, Problem 32E

To determine

Tofind:The triangle is right angled or not

Answer to Problem 32E

Not a right triangle

Explanation of Solution

Given information:

Sides of triangle- $a=20,b=22,c=30$

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:

  $\begin{array}{l}{a}^2+b^2=c^2\\ \Rightarrow {\left(20\right)}^2+{\left(22\right)}^2={\left(30\right)}^2\\ \Rightarrow 400+484=900\\ \Rightarrow 884=900\mathrm{...}\left(\text{not true}\right)\end{array}$

Therefore, the triangle is not a right angled.