The area of an equilateral triangle is subtracted from its base, and the perimeter is then added to this total, the result is 4. What is the height of the equilateral triangle if its base is 2?
Choose the correct choice from the following choices.
A) 2 B) 3 C) 4 D) 5 E) 6
An eqilateral triangle means all sides are equal; therefore, base = side. The equation is; base - Area + Perimeter = b - A + P = b -1/2bh + 3b, and b = 2. So, 2 - 2/2h + 6 = 4, and 8 - h = 4.   By plugging in the answers we can test the answers quickly; then, 4 is the only possible answer.   Answer: 4
<result>C</result>
The area of an equilateral triangle is subtracted from its base, and the perimeter is then added to this total, the result is 4. What is the height of the equilateral triangle if its base is 2?