SOLUTION: If I am given the height of the equilateral triangle how do I find the area? The height is 8 units .

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Question 935051: If I am given the height of the equilateral triangle how do I find the area? The height is 8 units .
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Special triangles, two of them. 30-60-90 type, a RIGHT TRIANGLE, each.
Hypotenuse is a side of the equilateral triangle.
Short leg is HALF the hypotenuse length. The height, is the other leg, given as size 8 units.

Let x=short leg size of the special right triangle.
PYTHAGOREAN THEOREM FORMULA, x%5E2%2B8%5E2=%282x%29%5E2.
According to the way the x variable was assigned, you really want 2x, solvable. The base for the equilateral triangle is 2x.

Area for the equilateral triangle will be %281%2F2%29%282x%29%288%29, typical formula applied for area of triangle. This will be 8x, or 4%2A2x.

I simply did not solve x for you.