Question

6. Each side of an equilateral triangle measures 8 cm. Its area is
a) 8 Bem? b) 16- 3cmc) 323cm2 d) 48cm2
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Answer 1

Answer:

(32 √3)/3 cm^2

Step-by-step explanation:

The formula for the area of a triangle is 1/2 base times height. To find the base of an equilateral triangle we need to draw a perpendicular bisector which bisects the angle and the side.

Because every equilateral triangle has angle measures of 60, and one angle is bisected while the bisector creates two identical right triangles, we now have a 30-60-90 triangle. We can use the theorem to find the side (or you can use Pythagorean theorem, works too.) Because the hypotenuse has a measure of 8, to find the height, which is opposite of the second largest side, we divide the hypotenuse, 8, by √3 (30-60-90 triangle theorem.) If we rationalize the denominator, then we get (8√3) / 3. We have the base, which is just one of the sides (8) and we multiply them together and then in half, leaving us with a final answer of (32√3)/3 cm^2.

I think this is what you meant to write for c