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## #1 2017-11-23 14:44:17

**shakeel123****Moderator**- Registered: 2017-09-21
- Posts: 50,796

### InΔABC, D and E are the mid points of AB and AC, respectively. Fi...

# Armed Forces Police Math Exams Quizzes MCQs Quizzes Triangles Geometry

**Question:**

InΔABC, D and E are the mid points of AB and AC, respectively. Find the ratio of the area ofΔ ADE andΔ ABC.

**Option A):**

1/2**Option B):**

3/4**Option C):**

1/4**Option D):**

1/8

**Correct Answer is Option C):**

1/4

**Explanation:****Solution:**

Clearly DE || BC

Δ ADE ABC (∠A = ∠A and ∠ ADE = ∠B)

ar(ΔADE)/ar(ΔABC) = AD²/AB² (Area Theorem)

AD²/(2AD)² = 1/4 (AB = 2AD)

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## 2017-11-23 14:44:17

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### Re: InΔABC, D and E are the mid points of AB and AC, respectively. Fi...

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