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Triangles between Same Parallels

In a parallel...

Question

In a parallelogram ABCD, AB = 2 BC. If the length of the altitude corresponding to AB is 10 cm, what is the length of the altitude corresponding to BC?

15 cm

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40 cm

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10 cm

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20 cm

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Solution

The correct option is D
20 cm

Let BC = x cm

Then, AB = 2BC = 2x cm

Area of gm ABCD = base altitude

2x 10 = x h

h = 20 cm = height corresponding to BC

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