Question

Draw a isosceles triangle ABC in which AB=AC=6cm and BC=5cm. Construct a triangle PQR similar to triangle ABC in which PQ=8cm. Also justify the construction

Answer 1

See the diagram

Explanation:

`ABC \cong PQR\\\Rightarrow (PQ)/(AB) =(PR)/(AC)=(QR)/(BC) \\(PQ)/(AB)=(PR)/(AC)\\  \\Since  \ AB=AC\\PQ=PR\\PR=8cm\\\\(PQ)/(AB)=(QR)/(BC)\\\\QR=(PQ)/(AB) \cdot BC\\\\QR=(8)/(6) \cdot 5\\\\QR=(20)/(3)`