Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch apothem a = sq. in.

The apothem of an equilateral triangle is the short leg of a special triangle .

From the figure as shown below:

s be the side of an equilateral triangle

a be the apothem of an equilateral tiangle

then;

or

As per the given statement:

apothem(a) = 6 inch.

= inch.

To find the area of an equilateral triangle:

Area of an equilateral triangle is given by;

where

A is the area of an equilateral triangle and s be the sides of an equilateral triangle.

Substitute the given values we have;

square inches.

Therefore, the area of an equilateral triangle is, square inches.

the forst and 3rd

step-by-step explanation:

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step-by-step explanation:

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