Chapter 8.3, Problem 13PSB

To determine

To prove : The similarity of $\Delta ABC$ with respect to $\Delta PQR$ .

Explanation of Solution

Given information : Here, we have given that acute angles of both right angles are congruent ( $\Rightarrow \angle ACB\cong \angle PRQ$ )

  

Proof: In $\Delta ABC$ and $\Delta PQR$

  $\angle ACB\cong \angle PRQ$ (Given)

  $\angle ABC\cong \angle PQR$ (Right Angles)

  $\Rightarrow \Delta ABC\sim \Delta PQR$ (By AA Similarity Rule)

  $\therefore$ The triangles are similar.