the flag of the bahamas includes an equilateral triangle. the perimeter of the triangle is p=3s, where s is the side length. use your formula to find the dimensions of the flag in feet and the are in square feet when the perimeter of the triangle is 126 inches

sides = 3.5 feet

area = 6.84

Explanation:

From the information provided in the question, this is a fairly simple algebraic equation. We are asked to solve for the length of the sides (s) which are all equal in length since this is an equilateral triangle and are given the value of p which is 126 inches. Now we simply plug-in this value for p and solve for s.

126 = 3s ... divide both sides by 3

42 = s

Since these are inches we can divide this value by 12 (12 inches = 1 foot) in order to find the length of s in feet.

42 / 12 = 3.5 feet

Now, we are also asked to find the area of the triangle which the equation for this is

The base is 3.5 feet but in order to find the height we need to use pythagoreom theorem on half of the triangle which would be the following

... square root both sides

Now we simply plug this into the area formula to calculate the area

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