Question

Construct a △ ABC in which ∠B = 45°, ∠C = 60° and the perpendicular from the vertex A to base BC is 4.5cm.

Answer 1

Steps of Construction:

Construct a line XY

Consider a point P on the line XY and draw PQ perpendicular to the line XY

Along with PQ set off PA = 4.5 cm

From the point A, construct LM parallel to XY

Draw ∠LAB = 45^o and ∠MAC = 60^o which meets the line XY at the points B and C

Therefore, △ ABC is the required triangle.