Question

Using ruler and compasses only, construct a triangle $ABC$ such that $BC=6$ cm, angle $B={60}^0$ and the length of the perpendicular from vertex $A$ to the base $BC=25$ cm.

Answer 1

draw a base $BC=6cm$ and an attitude $CD=25cm$ then draw a line perpendicular to $DA$ now draw a line $BA$ at an angle of ${60}^0$ to $BC$ which cuts perpendicular to $DC$ at $A$

thus we get required triangle