Question

Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 70°.

Answer 1

Steps of construction:

(1) Draw a line segment XY.

(2) Take a point M on XY and draw a line MP ⊥ XY.

(3) With M as the centre and radius 5 cm, draw an arc cutting MP at A.

(4) Construct B and C on XY such that ∠MAB = and ∠MAC = .

Then, ABC is the required triangle.