Q. 14.2( 13 Votes )

# Construct a triangle ABC in which AB = 6.5 cm, ∠A = 45° and ∠B = 60°.

Answer :

We have been given two angles and one side of triangle ABC.

Steps of construction for this case would be:

1. Draw a line segment sufficiently long using a ruler.

2. Locate points A and B such that AB = 6.5 cm, on the previously drawn line segment using a ruler.

3. Construct a line segment AX such that ∠XAB = 45° using a compass; use protractor to measure 45°.

4. Construct another line segment BY such that ∠YBA = 60° using a compass; use protractor to measure 60°.

5. Use these extended line segments AX and BY to intersect at point C.

Thus, ABC is the required triangle.

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