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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
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Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
6-inch apothem
A = sq. in.

Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box Rele class=

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znk

Answer:

[tex]\boxed{108\sqrt{3}\text{ in}^{2}}[/tex]

Step-by-step explanation:

An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.

The three apothems OD, OE, and OF divide  ∆ABC into six smaller congruent triangles.

1. Area of ∆OCD

CotOCD = OD/OC

cot30 = CD/6

√3 = CD/6

CD = 6√3

A= ½bh

A = ½ × 6√3 × 6 = 18√3  in²

2. Area of ∆ABC

A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²

[tex]\text{The area of the triangle is }\boxed{108 \sqrt{3} \text{ in}^{2}}[/tex]

elle1631

Answer:

just had this question :/ 108√3

Step-by-step explanation:

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