Construct a Δ ABC

Step of construction:

Step 1: Draw a line segment BC = 5 cm

Step 2: Draw BX such that ∠ CBX = 40°

Step 3: Draw BY ⊥ BX.

Step 4: Draw the perpendicular bisector of BC intersecting BY at O and BC at M.

Step 5: With O as centre and OB as radius, draw the circle.

Step 6: With M as centre, draw an arc of radius 6 cm meeting the circle at A and at A’

Step 7: Complete the Δ ABC which is the required triangle.

Step 8: Produce CB to CZ.

Step 9: Draw AE ⊥ CZ.

Step 10: Length of the altitude AE is 5cm.