Question 2. D and E are points on the sides AB
and AC respectively of a A ABC such that DE !
BC and divides a ABC into two parts, equal in
BD
area. Find
AB
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Answered by
2
Answer:
We have,
Area(△ADE)=Area(trapeziumBCED)
⇒ Area(△ADE)+Area(△ADE)=Area(trapeziumBCED)+Area(△ADE)
⇒ 2Area(△ADE)=Area(△ABC)......(i)
In △ADE and △ABC, we have
∠ADE=∠B [∵DE∣∣BC∴∠ADE=∠B (Corresponding angles]
and, ∠A=∠A [Common]
∴ △ADE∼△ABC
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0
Answer:
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Step-by-step explanation:
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