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 B4D∥B3C, meeting BC (produced) at D.
6. From D, draw DE∥CA, 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