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Construction of a Triangle Abc with Given Base, Base Angle and Difference between Two Sides AB & AC, with AB > AC

Construct a t...

Question

Construct a triangle ABC, in which AB = 5.6 cm and AB = BC, ∠B = 60°.

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Solution

Construction of ΔABC, where AB = 5.6 cm, AB = BC and ∠B = 70°_.

Steps of construction:

(i) Draw AB = 5.6 cm.

(ii) Using a protractor, draw an angle of 60° at B.

(iii) Measure 5.6 cm as radius and cut an arc so that it intersects at point C.

Join AC.

Thus, triangle ABC is the required triangle.

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