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Elden [556K]
4 years ago
7

Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

Mathematics
2 answers:
notka56 [123]4 years ago
3 0
A= (1/2) b*h
h=3 sqrt3
A= (1/2)*6*3sqrt3
A= 9sqrt3 square inches
Alisiya [41]4 years ago
3 0

Answer:

The area of the triangle is 9√3 in²

Step-by-step explanation:

We know that, the area of an equilateral triangle is,

A=\frac{\sqrt{3}}{4}a^2

Where, a is the side of the triangle,

Given,

a = 6 inches,

Thus, the area of the given equilateral triangle is,

A=\frac{\sqrt{3}}{4}(6)^2

=\frac{36\sqrt{3}}{4}

=9\sqrt{3}\text{ square inches}

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