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Question

Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then, construct another triangle whose sides are 34 times the corresponding sides of the first triangle. [2 MARKS]

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Solution

Construction : 2 Marks
Steps of construction : Optional


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 B4C

5. From B3, draw B3EB4C, meeting BC at E

6. From E, draw EFCA, meeting BA at F.

7. ΔFBE is the required triangle, each of whose sides is 34 times the corresponding side of Δ ABC

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