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Question

# Given that ∠A=50∘ and ∠B=60∘ , which of the following information is required to construct △ABC?

A
Length AB = 4cm
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B
Length BC = 4cm
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C
Length AC = 4cm
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D
None of the above
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Solution

## The correct option is A Length AB = 4cmTo construct a triangle with two known angles, the included side also has to be known. Steps involved to construct a triangle, given two angles and an included side is as follows: Draw AB = 4cm. At A, draw AP making an angle of 50∘ with AB, i.e, draw angle PAB = 50∘. At B, draw BQ making an angle of 60∘ with AB, i.e, draw angle QBA = 60∘. AP and BQ intersect each other at point C.

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