Question

Construct an isosceles triangle PQR in which base PQ = 7.2 cm and altitude from R on PQ is 5 cm.

Answer 1

Steps of construction:

Step I: Draw line segment PQ = 7.2 cm.

Step II: Draw the perpendicular bisector of PQ; call it SM.

Step III: With M as the centre and radius 5 cm (equal to the length of the altitude), draw an arc that cuts SM at R.

Step IV: Join RP and RQ. ΔPQR is the required triangle.