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Question

Construct a triangle in which AB = 4 cm, ∠CAB = 450 and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. The radius of the circle is:

A
2 cm
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B
3 cm
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C
4 cm
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D
5 cm
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Solution

The correct option is A 2 cm
  • Construct triangle ABC of given specifications.
  • Draw perpendicular bisectors of sides AB and BC.
  • Mark the intersection of the perpendicular bisectors as O.
  • Draw a circle taking O as the centre and OA as radius.

This is the required circumcircle.
By measuring, we see that the radius of the circle is 2 cm.

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