Question

Construct a triangle ABC in which AB = 3.3 cm, AC = 2.8 cm and altitude AD = 2.3 cm.

Answer 1

Given: ABC is a triangle, in which AB = 3.3 cm, 

AC = 2.8 cm and altitude AD = 2.3 cm.

To construct ∆ABC.

Steps of construction:

1. Draw a straight line PQ and mark a point D in it.
2. Draw DX ⊥ PQ.
3. From DX cut off DA = 2.3 cm.
4. With A as  centre and radii 3.3 cm, 2.8 cm, draw arcs to cut PQ at B, and C respectively.
5. Join AB and AC.

Hence, ∆ABC is the required triangle.