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Find the area of each regular polygon. Round to the nearest tenth.

This is all the information given, is it even possible?

Find the area of each regular polygon. Round to the nearest tenth. This is all the-example-1
User Sayuj
by
2.3k points

1 Answer

22 votes
22 votes

Given:

A regular polygon with three vertices and side 14 cm.

To find:

Area of the regular polygon.

Solution:

We know that, a regular polygon has equal sides and equal interior angles.

The given regular polygon has three equal sides, it means it is an equilateral triangle.

The area of an equilateral triangle is:


image

Where, a is the side length of the triangle.

Putting
image, we get


image


image


image


image

Therefore, the area of given regular polygon is 84.9 cm².

User Konard
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2.8k points