SKILL
Given that one side of an equilateral triangle is 16, what is the area of the triangle?

approximately 55.43 or

Step-by-step explanation:

1) draw line down middle of said triangle and split it in half

2) since the area of the triangle is 1/2 b * h we can solve

3) we know that the base is 8 (16 split in 1/2)

4) use the Pythagorean theorem (a^2 +b^2 = c^2) to solve for the height

5) a= 8 b= ? c= 16

6) 16^2=256 8^2= 64  256-64=b^2

7) b=

8) or approximately 55.43

You can check by substituting the numbers back into the Pythagorean theorem and see if they match up

∠cbe and ∠deb are same-side interior angles.

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