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Question

# In Δ triangle ABC, D and E are the midpoints of side AB and AC. State which of the following are correct option(s).

A
Area of ∆BEC and ∆ BDC are equal.
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B
12 Area of BDEC = Area of ∆BDC
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C
DE is parallel to BC
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D
Area of ∆DOB = Area of ∆EOC
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Solution

## The correct options are A Area of ∆BEC and ∆ BDC are equal. C DE is parallel to BC D Area of ∆DOB = Area of ∆EOCD and E are the midpoints of AB and AC. DE will be parallel to BC (Midpoint theorem). Area of ∆BEC and ∆BDC will be equal as they are on the same base and between the same parallel lines. Also, Area of ∆BEC - Area of ∆BOC = Area of ∆BDC - Area of ∆BOC. Thus, Area of ∆DOB = Area of ∆EOC.

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