SOLUTION: Find the area of an equilateral triangle given side length 24.

Question 728725: Find the area of an equilateral triangle given side length 24.
Answer by ohtheirony(35) (Show Source): You can put this solution on YOUR website!
The median and altitude are the same line in an equilateral triangle. The median divides the base into two equal parts, so 12 and 12. You can use the Pythagorean theorem to find the height. We have the hypotenuse (c=24) and the base (a=12).
So becomes...

The opposite of squaring is the square root. So , we take the square root of each side.

b=20.7846096908
To find the area, multiply 1/2bh, or 1/2 the base times the height.
1/2(12)(20.7846096908)=124.707658145
Multiply this answer by two, and you will have the full equilateral triangle.
124.707658145(2)=249.41531629
area=~249.415
RELATED QUESTIONS
Find the area of an equilateral triangle given a side length of 8... (answered by unlockmath)

Find the area of an equilateral triangle in which each side has a length of... (answered by drj)

Find the side length of a equilateral triangle with an area of 12 radical... (answered by Gogonati,poliphob3.14,richard1234)

find the area of an equilateral triangle with side length of... (answered by Gogonati)

Find the area of an equilateral triangle whose side length is... (answered by checkley71)

how do you find the area of an equilateral triangle with side length 2 radical... (answered by edjones)

Find the area of an equilateral triangle with side 12. (answered by ewatrrr)

The length of a side in an equilateral triangle is 5 inches. Find the area of the... (answered by ewatrrr)

An equilateral triangle has a side length of 30 meters. Determine the area of the... (answered by nerdybill)