Question

Construct a ΔABC in which AB = 6 cm, ∠A = 30°  and ∠AB = 60° . Construct another ΔAB'C ' similar to ΔABC with base AB’ = 8 cm.

Answer 1

Steps of Construction
Step 1: Draw a line segment AB =  6cm.
Step 2: At A, draw ∠XAB = 30°.
Step 3: At B, draw ∠YBA = 60°.Suppose AX and BY intersect at C.
Thus, ΔABC is the required triangle.
Step 4: Produce AB to B’ such that AB' = 8cm.
Step 5: From B’, draw B'C' || BC meeting AX at C’.

Here. AB’C’ is the required triangle similar to ΔABC.