AE || BC and D is the mid-point of BC. If area △ABC = 84 cm2, what is area of

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AE || BC and D is the mid-point of BC. If area

△ A B C

= 84

c m^{2}

, what is area of

△ B D E

?

AE || BC And D Is The Mid-point Of BC. If Area △ABC = 84 ...

Options:

A . 21cm2

B . 42cm2

C . 63 cm2

D . 84 cm2

Answer: Option B
:
B

AE || BC And D Is The Mid-point Of BC. If Area △ABC = 84 ...

If we draw EC, we can see that△ABCand△BECwill have equal area. Because triangles on same base and between same parallels are equal in area.
In△ABCand△BDEthe altitudeis same but the length of the base is different.
Base length (△ABC) = 2 × Base length (△BDE) (

∵

D is the mid point)
So, Area (△ABC) = 2 × Area (△BDE)
Area (△BDE) = 42

c m^{2}

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