Question

Draw a triangle PQR with sides PQ=6cm QR=5cm and triangle PQR = 600. Construct another triangle such that its sides are 5/6 of the corresponding sides of Triangle PQR.

Answer 1

Construct a triangle ABC in which AB =5cm, Angle B=60 degree altitude CD= 3cm. Construct a triangle AQR similar to triangle ABC such that side of triangle AQR is 1.5 times that of the corresponding sides of triangle ACB.

Draw a line segment AB of length 5cm.

Taking B as point Construct an angle of measure 60o using a compass.

Name the angle as angle ABX.

Draw a line EF at a height of 3 cm such that it is parallel to the line segment AB. It must intersect ray BX at point C. Now join AC.

Draw CD perpendicular to AB. CD is altitude of triangle ABC having height 3cm.