In ∆ triangle ABC, D and E are the midpoints of side AB and AC. State which of the following are correct option(s).
In ∆ triangle ABC, D and E are the midpoints of side AB and AC. State which of the following are correct option(s).
The correct options are
A Area of ∆BEC and ∆ BDC are equal.
C DE is parallel to BC
D All of the above
D and E are the midpoints of AB and AC.
DE will be parallel to BC (Midpoint theorem).
So, option C is correct.
Area of ∆BEC and ∆BDC will be equal as they are on the same base and between same parallel.
Option (A) is correct
Also, Area of ∆BEC - Area of ∆BOC = Area of ∆BDC - Area of ∆BOC.
Thus, Area of ∆DOB = Area of ∆EOC.
So, option D is correct.
Area of BDEC is not equal to Area of ∆BDC (If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram but BDEC is a trapezium).
So, option B is incorrect.
A
Area of ∆BEC and ∆ BDC are equal.
C
DE is parallel to BC
D
All of the above
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D and E are the midpoints of AB and AC. Option (A) is correct |
