Mathematics

Mathematics

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}. a. (i) Construct triangle PQR accurately with basic instruments. b. (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'. c. (iii) Prove, with suitable reasoning, that triangles PQR and P'Q'R' are congruent. d. (iv) Measure QR and Q'R' and comment on their equality.

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