Construct a triangle in which AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. The radius of the circle is:

2 cm

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4 cm

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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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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:

Construct a triangle in which AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. The radius of the circle is: