## anonymous 4 years ago What is the area of an equilateral triangle with side lengths 2x?

1. anonymous

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2. anonymous

ooops its 1/2 (2x) sqrt 3 x or simpy sqrt3 * x^2

3. Directrix

Yes. A specialty formula of sorts for finding the area of an equilateral triangle is, in words, the following: side squared times square root of 3 all over 4

4. Directrix

In this case,[ (2x)^2 (√ 3 )] / =[ 4 x ^ 2 (√ 3 )] / 4 = x ^ 2 (√ 3 )

5. anonymous

Area of an equilateral triangle is given by: $\sqrt{3}/4*x ^{2}$ Where x^2 is the side. In this case, Side=2x So the formula will be: $\sqrt{3}/4*(2x)^{2}$ Or, that is same as: $\sqrt{3}/4*4x ^{2}$ 4 and 4 get cancelled from the numerator and denominator, so we are left with: $\sqrt{3}x ^{2}$ This is the final answer.