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Question

Draw a triangle ABC with side BC = 7 cm, B = 45, and A = 105. Then, construct a triangle whose sides are 43 times the corresponding sides of Δ ABC [3 MARKS]

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Solution

Construction : 2 Marks
Steps of construction : 1 Mark



Steps of construction :

1. Construct a Δ ABC with given measurement.

2. Below BC, make an acute angle CBZ.

3. Along BZ, mark off four points B1,B2,B3 and B4 such that BB1=B1B2=B2B3=B3B4.

4. Join B3C.

5. From B4, draw B4DB3C, meeting BC (produced) at D.

6. From D, draw DECA, meeting ray BX at E.

7. Δ EBD is the required triangle, each of whose sides is 43 times the corresponding side of Δ ABC

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