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