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Question

In the given figure AD = 5 cm, AB = 15 cm, AE = 6 cm, AC = 24 cm. Then which of the following is correct ?


A

DE = BC

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B

DEBC

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C

AB = AC

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D

DEBC

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Solution

The correct option is D

DEBC


In the given figure:

ADAB = 5cm15cm = 13;

AEAC = 6cm24cm = 14;

ADAB AEAC;

By converse of Basic Proportionality Theorem (If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side)

we can say that DEBC


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