#### Question

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

#### 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.

Is there an error in this question or solution?

Solution Construct Triangleabc with Bc = 7.5 Cm, Ac = 5 Cm and M∠C = 60°. Concept: Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them Are Known. (Sas Criterion).