SOLUTION: find the area of equilateral triangle whose perimeter is 12 inches.

Question 663673: find the area of equilateral triangle whose perimeter is 12 inches.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Equilateral means all the sides are the same
p = a+b+c or in this case 3s
12 = 3s
s = 4 in for each side
...
To find the height, cut the triangle in half to create two right triangles.
The bottom of one of the triangles is 4/2 = 2
The hypotenuse of the right triangle is 4
solve for the other side, is solving for height
s^2 + 2^2 = 4^2
Isolate s^2
s^2 = 4^2 - 2^2
s^2 = 16-4 = 12
s^2 = 12

s =
s = 2
...
a = 1/2(b)(h)
a = 1/2(4)(2)
a = 2(2)
a = 4
.....
Alternatively,
The area formula in an equilateral triangle is

Plug in the side determined from the perimeter

Such that,

.........................
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