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Question

Draw an equilateral triangle ABC of side 6 cm and find its incircle radius.


A

3.4 cm

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B

4.8 cm

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C

1.7 cm

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D

2.8 cm

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Solution

The correct option is C

1.7 cm


1. Draw an equilateral triangle of the given measurements.

2. Construct the angle bisectors of any two angles (B and C) and let them meet O. The point O is the centre of ΔABC.

3. With O as an external point drop a perpendicular to any one of the sides at P.

4. With O as centre and OP as radius, draw the circle. This circle touches all the sides of the triangle.

Inradius = 1.7 cm


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