Find the area of an equi. triangle with an apothem of 2ft

Step-by-step explanation:

(1/2)(4√3ft)(6 ft) = 12√3ft2.

Step-by-step explanation:

For an equilateral triangle, the apothem is 1/3 of the height, so the height is 3 times 2 ft or 6 ft.

The base of the equilateral triangle is the apothem times 2√3 or 2ft times 2√3 = 4√3ft.

So the area of the triangle is (1/2)(base)(height) or

(1/2)(4√3ft)(6 ft) = 12√3ft2.

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step-by-step explanation: