Question

Construct a triangle ABC in which AB = 5 cm, BC = 6.8 cm and median AD = 4.4 cm. Draw incircle of this triangle.

Answer 1

Steps for construction :

1. Draw BC = 6.8 cm.
2. Mark point D where BD = DC = 3.4 cm which is mid-point of BC.
3. Mark a point A which is intersection of arcs AD = 4.4 cm and AB = 5 cm from a point D and B respectively.
4. Join AB, AD and AC.
5. ABC is the required triangle.
6. Draw bisectors of angle B and angle C which are ray BX and CY where I is the incentre of a circle.
7. Draw incircle of a triangle ABC.