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Triangles

Construct a t...

Question

Construct a triangle similar to a given $Δ A B C$ such that each of its sides is $\frac{2}{3} r d$ of the corresponding side of the ABC It is given that AB = 4 cm, BC = 5 cm and AC = 6 cm

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Solution

Steps of construction :
1 Construct $Δ A B C$ where BC = 5 cm, AB = 4 cm and AC = 6 cm
2 Divide the base BC into three equal parts
3 Mark C' on BC such that BC' = $\frac{2}{3} B C$
4 Through C' draw a line parallel to CA intersect AB in A'

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