What is the area of an equilateral triangle, with apothem of 6 inches in length?

Answer 1

#color(white)(xx)12sqrt3#

#color(white)(xx)sqrt3/2a=h#

#=>sqrt3/2a=6# #=>color(red)(2/sqrt3*)sqrt3/2a=color(red)(2/sqrt3*)6# #=>a=(2color(blue)(*sqrt3))/(sqrt3color(blue)(*sqrt3))*6#

#=>a=4sqrt3#

#color(white)(xx)A=(ah)/2# #color(white)(xxxx)=6*4sqrt3/2# #color(white)(xxxx)=12sqrt3#

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Answer 2

Aaliyah Anderson

The area of an equilateral triangle can be calculated using the formula: Area = (side length * apothem) / 2. Since the triangle is equilateral, all sides are of equal length. Therefore, the apothem is also the height of the triangle. If the apothem is 6 inches, and since the triangle is equilateral, the side length is also 6 inches. Substituting these values into the formula, we get: Area = (6 * 6) / 2 = 18 square inches. So, the area of the equilateral triangle with an apothem of 6 inches is 18 square inches.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.