Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.

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#### Solution

The steps of construction are as follows.

1) Draw a line segment BC of length 6 cm

2) Taking point C as centre, draw an arc of 6.5 cm radius.

3) Taking point B as centre, draw an arc of radius 2.5 cm to meet the previous arc at point A.

4) Join A to B and C.

ΔABC is the required triangle. ∠B can be measured with the help of protractor. It comes to 90º.

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