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Compare and Contrast a square and an equilateral triangle? Be sure to communicate and discuss using mathematical language, ideas and concepts from this module.

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The comparison and contrast between a square and an equilateral triangle are stated and explained below:

What is a square? A square is a plane shape with an equal length of sides. This implies that the measure of its length is the same as that of its breadth.

What is an equilateral triangle? A triangle is a plane shape with three sides, and a sum of its internal angles to equal [tex]180^{o}[/tex]. Thus an equilateral triangle is a type of triangle with equal lengths of sides, and therefore equal internal angles.

Comparison: i. The two shapes have equal lengths of sides.

ii. An equilateral triangle and a square are examples of plane shapes.

Contrast: i. An equilateral triangle has three sides, while a square has four sides.

ii. An equilateral triangle has three internal angles, while a square has four internal angles which are right angles.

iii. The sum of internal angles of an equilateral triangle is [tex]180^{o}[/tex], while that of a square is [tex]360^{o}[/tex].

For more clarifications on the properties of squares and triangles, visit:

https://brainly.com/question/12410856

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