Construct a triangle ABC, in which AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. Find the radius of the circle.
[3 Marks]

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Solution

Construct triangle ABC of given specifications.

Draw perpendicular bisectors of sides AB and BC. [1 Mark]

Mark the intersection of the perpendicular bisectors as O.

Draw a circle taking O as the centre and OA as radius. [1 Mark]

This is the required circumcircle.
By measuring, we see that the radius of the circle is 2 cm. [1 Mark]

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Construct a triangle ABC, in which AB = 4 cm, ∠CAB = 450 and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. Find the radius of the circle. [3 Marks]

Construct a triangle ABC, in which AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Draw a circle circumscribing the triangle ABC. Find the radius of the circle.
[3 Marks]