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Question

Write the steps to follow to construct a triangle with sides 5cm and 6cm with the included angle 60. Then, construct a triangle with the corresponding sides in the ratio 7:9.

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Solution

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1. Draw any triangle with base BC .
2. From B, draw a ray BX. Cut 9 arcs of equal length on the ray BX at B1,B2,..B9.
3. Draw a line from B7 to C.
4. From B9, draw another line parallel to B7C, cutting the extended line BC at C1.
5. From C1, draw another line parallel to AC, cutting the extended line BA at A1.
Triangle A1BC1 is the required similar triangle to ABC with the ratio of corresponding sides 7:9.


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