Construct the triangle ABC, in which AB = 5.5 cm, ∠A = 45°, ∠B = 85°. Measure the sides AC and BC.

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Solution

Construction of ΔABC, where AB = 5.5 cm, and .

Steps of constructions:

(i) Draw AB = 5.5 cm.

(ii) Using a protractor at A and B, construct and.

Let them meet at C.

Thus, triangle ABC is the required triangle.

On measuring, it is observed that AC = 7.2 cm and BC = 5.1 cm.

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