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Question
Construct a ΔABC with BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm. Construct the incircle of the triangle. Measure and record the radius of the incircle.
Solution
The incircle of the triangle is drawn with the joining point of all angular bisectors as the centre.
- Construct a ΔABC with the given data.
- Draw the angle bisector of ∠B and ∠C. Let these bisectors cut at O.
- Taking O as the centre. Draw a incircle which touches all the sides of the ΔABC
- From O draw a perpendicular to side BC which cut at N.
- Measure ON which is the required radius of the incircle. ON = 1.5 cm
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