Question

An equilateral triangle has height of 13. The perimeter is 321 feet. What is the area of the triangle?

Answer 1

4957.56

Explanation:

Call the 3 sides of the triangle as a,b,c.

We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.

To calculate an area of an equilateral triangle, we can use the formula :


`√(3)\\`/4 x
`a^(2)`

=> A =
`√(3)\\`/4 x
`107^(2)` = approx. 4957.56