Question

If one side of an equilateral triangle is 12 cm find the Area?

Answer 1

Do you know the formula for the area of a triangle?

Answer 2

1/2 * base * height?

Answer 3

Thats right. So to use the formula we need to find the vertical height.

In the drawing sin 60 = h/6
Can you find h ?

Answer 4

would that be 15.20

Answer 5

3 x the square root of 3?

Answer 6

Sorry my drawing has a mistake. The side of the triangle is 12 cm.
\[\sin 60=\frac{\sqrt{3}}{2}=\frac{h}{12}\]
\[h=6\times \sqrt{3}\]
Can you find the area of the triangle now?