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Construct ∆ABC with measurements AB = 4.5 cm, BC = 6 cm and ∠B=75°

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Best answer

Given measurements of ∆ABC are AB = 4.5 cm, BC = 6 cm and ∠B = 75°.

Steps of Construction :

1. Draw a rough sketch of triangle and label it with given measurements. 

2. Draw a line segment with BC = 6 cm. 

3. Draw a ray \(\overrightarrow{BX}\) such that ∠CBX = 15°. 

4. Draw an arc with centre B and radius 4.5 cm, to intersect \(\overrightarrow{BX}\)at point A. 

Thus, required ∆ABC is constructed with the given measurements

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