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Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm,

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Construction of a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm

Steps of Construction : 

1. Draw BC = 7 cm line segment. 

2. Construct ∠B = 75° and produce it upto Bx. 

3. With B as centre draw an arc BD = 13 cm such that it intersects Bx at D. 

4. Construct PQ which is the perpendicular bisector of BD. 

5. PQ intersects BD at A. 

6. Join AC. 

7. Now ∆ABC, with measurement AB + AC = 13 cm, and ∠B = 75°, BC = 7 cm is constructed.

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