What is the area of an equilateral triangle with a perimeter of 6 inches?

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What is the area of an equilateral triangle with a perimeter of 6 inches?

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Answer 1 · 2018-05-14T19:39:06

$A$ $A$ = $\sqrt{3}$ $sqrt(3)$

Explanation:

An equilateral triangle has $3$ $3$ sides and all the measures of its sides will be equal. So, if the perimeter, the sum of the measure of its sides, is $6$ $6$ , you must divide by the number of sides, $3$ $3$ , to get the answer:

$\frac{6}{3}$ $6/3$ = $2$ $2$ , so each side is $2$ $2$ inches.

$A = \frac{a^{2} \sqrt{3}}{4}$ $A = (a^2sqrt(3))/4$ , where $a$ $a$ is the side. Plug in your variable, $2$ $2$ .

$A$ $A$ = $\frac{2^{2} \sqrt{3}}{4}$ $(2^2sqrt(3))/4$

$A=(color(red)(cancel(color(black)("4")))sqrt(3))/(color(red)(cancel(color(black)("4"))))$

$A$ = $sqrt(3)$

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What is the area of an equilateral triangle with a perimeter of 6 inches?

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