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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.
Solution
Steps for construction :
- Draw BC = 6.8 cm.
- Mark point D where BD = DC = 3.4 cm which is mid-point of BC.
- Mark a point A which is intersection of arcs AD = 4.4 cm and AB = 5 cm from a point D and B respectively.
- Join AB, AD and AC.
- ABC is the required triangle.
- Draw bisectors of angle B and angle C which are ray BX and CY where I is the incentre of a circle.
- Draw incircle of a triangle ABC.
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(i) Construct a triangle ABC, in which AB = 9 cm, BC = 10 cm and angle ABC = 45°.
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