show that the area of an equilateral triangle with side a ' 2x' is √3x square
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Answer:√3x
We know that the area of an equilateral triangle is √3a^2/4.
When we substitute for a ( which is 2x),
We get,
√3a^2/4 =
√3(2x)^2/4=
√3*4x^2/4= (4 in the numerator and the denominator gets cancelled)
√3x^2
Which is our final answer.
Hope your doubt is cleared.
Have a great day.
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