Mathematics
In the given figure, ABCD is a trapezium in which AB || CD. If area of △BEC is 12 cm2, then area of △EDC is :
12 cm2
6 cm2
24 cm2
none of these
Mensuration
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Answer
Since, AB || DC.
∴ Triangles BEC and EDC lie between the same parallel lines.
Both triangles have the same height (distance between AB and CD).
There bases are also equal:
Base of △BEC = EB = 6 cm
Base of △EDC = DC = 6 cm
We know that,
Area of triangle = × base × height
Since both triangles (△BEC and △EDC) have same height and base.
So, there areas are also equal.
∴ Area of △BEC = Area of △EDC = 12 cm2.
Hence, option 1 is the correct option.
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