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


In Δ Triangle ABC, D And E Are The Midpoints Of Side AB And...


Options:
A .   Area of ∆BEC and ∆ BDC are equal.
B .   12 Area of BDEC = Area of ∆BDC
C .   DE is parallel to BC
D .   Area of ∆DOB = Area of ∆EOC
Answer: Option A
:
A, C, and D

In Δ Triangle ABC, D And E Are The Midpoints Of Side AB And...D 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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