SOLUTION: how do I find the height of an equilateral triangle that has a perimeter of 24

Question 1073959: how do I find the height of an equilateral triangle that has a perimeter of 24

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Each side is 8 units in length. The equilateral triangle is composed of TWO special 30-60-90 type RIGHT triangles having a leg of ~~24/2=12~~ and a hypotenuse of 8. The other leg is the altitude of the equilateral triangle. Use Pythagorean Theorem Formula.

Let a be the altitude.
------Hypotenuse is 8 units in length. This means the short leg is 4 units of length.

(solve for a.)

Answer by ikleyn(52785)   (Show Source): You can put this solution on YOUR website!
.

The side length is a = = 8 units. The altitude is h = = = . Answer. The altitude length is .

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
how do I find the height of an equilateral triangle that has a perimeter of 24

<============= INCORRECT/RIDICULOUS/NONSENSICAL answer
Altitude: <======= Correct answer
The altitude will be the LONGER leg of one of two 30-60-90 special right-triangles, formed from the altitude being drawn from one
of the equilateral triangle's vertices, to its opposite side. Thus, the ALTITUDE/LONGER leg is:
That's how SIMPLE this problem is.
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