Question

Construct a isosceles triangle pqr in which pq=pr=6cm and qr=5cm.construct a triangle abc similar to triangle pqr in which ab=8cm

Answer 1

△PQR~△ABCPQAB=QRBC=PRACPQ = 8cm and AB = 6cmABPQ=68 = 34Steps:1. Draw ∆ABC with AB as a base using given measurements.2. Draw ∠BAX3. Cut 4 equal parts say A1
A2, A3, A4, on AX.4. Join A4B and draw A3B||A4B.5. Draw B'C'|| BC which cuts AC at C'.△C'AB' is the required triangle.