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Construct a triangle similar to a given ...

Construct a triangle similar to a given triangle ABC such that each of its sides is `(2)/(3)`rd of the corresponding sides of the triangle ABC. It is given that AB=4cm, BC=5cm and AC=6cm .

Text Solution

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Steps of Construction:
1. Take BC=5cm and construction `DeltaABC` with BA=4 cm and CA=6 cm.
2. Divide BC into three equal parts.
3. Let C' be a point on BC such that `BC'=(2)/(3)BC`.
4. Draw A'C' parallel to AC through C' intersecting BA at A' . `DeltaAB'C'` is the required triangle.
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