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Question

If in a ABC, a line DE||BC, intersects AB in D and AC in E, then ABAD=ACAE

A
True
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B
False
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Solution

The correct option is A True
In ΔABC and ΔADE:

B=D.......[corresponding angles]

C=E.......[corresponding angles]

A=A......[common]

Hence ΔABCΔADE...........[By AAA criteria]

Also in similar triangles ratio of sides area eqaual.

So,
ABAD=ACAE.

1370672_1000497_ans_e34fdf171f4945e4a8b86106e37da763.png

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