If a parallelogram having area 48 cm2 and height 6 cm is transformed into a triangle with the same base and area as that of the parallelogram, then what is the height of the triangle?
A
9 cm
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B
12 cm
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C
18 cm
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D
24 cm
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Solution
The correct option is B 12 cm Area of a parallelogram = base × height ⟹48=base×6 ⟹base=486=8cm
Given that the base and area of the parallelogram is same as that of the triangle , ⟹ Area of triangle = 48 = 12×base×height ⟹48=12×8×height ⟹Height of the triangle =48×28=12cm