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Question

Construct a ∆ABC in which BC = 5.3 cm, ∠B = 60° and AB = 4.2 cm. Also, draw the perpendicular bisector of AC.

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Solution

Steps of construction: 1. Draw BC=5.3 cm 2. Construct CBX=60° 3. With B as the centre and radius 4.2 cm, cut the ray BX at point A. 4. Join A and C. 5. With A as the centre and radius more than half of AC, draw an arc on either side of AC. 6. With C as the centre and the same radius, draw another arc cutting the previously drawn arc at M and N. 7. Join M and N.

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