Q1 of 59 Page 67

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

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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