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Properties of triangles

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A quick puzzle about a familiar three-sided figure

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Colombia

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Properties of triangles
 

Properties of trianglesOnline version

A quick puzzle about a familiar three-sided figure

by Keili Jaraba
1

I am a polygon with three sides and three corners. The sum of my interior angles is always 180 degrees. What am I?

Hints

The three interior angles add up to 180 degrees; I can be equilateral, isosceles, or scalene.

I have three corners called vertices.

I am a polygon.

2

I am a shape with three sides and three angles. No matter how I look, the three interior angles always add up to a fixed amount. What am I?

Hints

If you compare the three angles on any triangle, they total the same number after you widen or shrink the figure.

Think about what happens when you lay a triangle flat along a straight line.

I am a three-sided figure you can draw anywhere.

3

I am a three-sided figure. The angles inside my corners always add up to a constant value in flat space. What am I, in terms of that sum?

Hints

Think about adding the three corner angles when you’re done.

In Euclidean geometry, the total of interior angles is the same for all triangles.

I have three sides.

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