Give the name of a regular, three-sided polygon.

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Equilateral Triangle

Isosceles Triangle

Scalene Triangle

None of these

answer is A.

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Detailed Solution

Concept- We will first separate the provided data into various terms and write down their definitions before evaluating the data to see what kind of triangle.
The phrase regular polygon comes first.
First, we will define the term "regular polygon."
Equiangular and equilateral describe a regular polygon.
Equilateral refers to all of the sides of the polygon being equal, whereas equiangular refers to all of the angles in the polygon having the same measure.
As a result, the figure we are left with has equal sides and equal angles.
And we have three sides.
We are aware that the total exterior angles of a regular polygon are always

, and that the length of each angle is

, where n is the total number of sides.

Therefore, each angle will be measured at

.
We now understand that the external angle measurement equals the total of the inner angles.
As a result,

, is the result if the interior angle is a.
We now have a polygon with 60-degree angles and all equal sides.
Due to the fact that only equilateral triangles have three equal sides and angles that measure 60 degrees,
We now own an equilateral triangle.
Hence, option 1 is correct.

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