Q4 of 59 Page 67

Construct a triangle ABC in which BC = 6 cm, ∠B = 30° and ∠C = 125°.

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 B and C such that BC = 6 cm, on the line segment in step 1 using a ruler.



3. Construct a line segment BX such that ∠XBC = 30° using a compass; use protractor to measure 30°.



4. Construct another line segment CY such that ∠YCB = 125° using a compass; use protractor to measure 125°.



5. Use these extended line segments BX and CY to intersect at point A.



Thus, ABC is the required triangle.


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