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Question

# Which of the following step is not required to construct a △ABC, when AB = 7.6 cm, AC = 6 cm and CB = 4 cm.

A
Draw a rough sketch of the triangle. Draw one of the sides, say AB = 7.6 cm.
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B
Using compass and taking A as centre, draw an arc of radius 6 cm.
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C
Construct an angle 90 at A.
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D
With B as centre, draw an arc of radius 4 cm that cuts the first arc at point C. Join AC and BC.
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Solution

## The correct option is C Construct an angle 90∘ at A.Steps involved to construct a triangle, given all the three sides is as follows: Draw a rough sketch of the triangle. Draw one of the sides, say AB = 7.6cm.(We can start with any side, but usually the longest side is taken.) Using compass and taking A as centre, draw an arc of radius 6cm. With B as centre, draw an arc of radius 4cm that cuts the first arc at point C. Join AC and BC.

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