NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 6: Triangles - Problems and Solutions
Question 147

Question. 147

If ΔPQR and ΔSQR are both isosceles triangles on a common base QR such that P and S lie on the same side of QR, are triangles PSQ and PSR congruent? Which condition do you use?

Answer:

Yes, congruent by SSS

Detailed Answer with Explanation:

Since PQ = PR and SQ = SR, and PS is common, triangles are congruent by SSS.