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m_a_m_a [10]
3 years ago
15

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

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer:

\boxed{108\sqrt{3}\text{ in}^{2}}

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

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

Doss [256]3 years ago
7 0

Answer:

just had this question :/ 108√3

Step-by-step explanation:

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