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Question

If the sides of an equilateral triangle are given by 2ab3,ab+1 and 2a2b1, then the perimeter (in cms) of the triangle is

A
6
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B
9
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C
12
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D
15
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Solution

The correct option is C 9
Since the triangle is equilateral, therefore
2ab3=ab+1=2a2b1
(2ab3)(ab+1)=0
and (2ab3)(2a2b1)=0
a4=0,b2=0
a=4 or b=2
These values give 2ab3=2×423=3,
so that each side is 3 cm.
Perimeter =3×3=9 cm.

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