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Construct Triangleabc with Bc = 7.5 Cm, Ac = 5 Cm and M∠C = 60°.

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Question

Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.

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Solution

A rough sketch of the required triangle is as follows.

The steps of construction are as follows.

1) Draw a line segment BC of length 7.5 cm.

2) At point C, draw a ray CX making 60º with BC.

3) Taking C as centre, draw an arc of 5 cm radius. It intersects CX at point A

4) Join A to B to obtain triangle ABC.

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