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Question

The sequence of the area of the equilateral triangles having sides 1 cm, 2 cm, 3 cm ___is


A

32,3,23

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B

34,3,934

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C

3,934

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D

23,33,43

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Solution

The correct option is B

34,3,934


Area of an equilateral triangle =34a2 (where a =side of the triangle)

Area of triangle with sides 1 cm =34(1)2=34 units.

Area of triangle with side 2 cm =34(2)2=3 units.

Area of triangle with side 3 cm =34(3)2=934 units.

Sequence is 34,3,934


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