A right-angled triangle PQR has right angle at Q

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

A right-angled triangle PQR has right angle at Q. You are given PQ = 7 cm7\,\text{cm} and PR = 25 cm25\,\text{cm}. (i) Construct triangle PQR accurately with basic instruments. (ii) On the opposite side of PR, construct another triangle P'Q'R' having P'R' = 25 cm25\,\text{cm}, P'Q' = 7 cm7\,\text{cm} and right angle at Q'. (iii) Prove, with suitable reasoning, that triangles PQR and P'Q'R' are congruent. (iv) Measure QR and Q'R' and comment on their equality.

Related theory

Browse the problem library