Question

find the area

Answer 1

@DanJS

Answer 2

The area of the original equilateral triangle equals the area of 6 of the small triangles.

Answer 3

One side of the small triangle is given.
I called that side x. See figure above.
The other side is \(\sqrt 3 x\).
Multiply the given side by \(\sqrt 3\) to find the other side.
Since theses two sides of the small triangle are at right angles to each other, they are a base and height.
Multiply then together and divide by 2 to find the area of the small triangle.
Then multiply that area by 6 to find the area of the large original triangle.

Answer 4

5400?

Answer 5

6 * 1/2 * root(3) * x * x

3*root(3)*x^2

use the length for x

Answer 6

\[3*\sqrt{3}*(\frac{ 8\sqrt{3} }{ 3 })^2\]

\[64\sqrt{3}\approx 111 ~~unit^2\]

Answer 7

I think I understand now.... would this be 878?

Answer 8

@DanJS