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If all 3 sides are equal: Equilateral Triangle

If 2 sides are equal: Isosceles Triangle

If all 3 sides are unequal/different: Scalene Triangle

Q: How can you look at the lengths of the sides of a triangle and determine what type of triangle it is by its sides?

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The three sides are of different lengths and the three interior angles are different too.

A scalene acute triangle is a triangle with all sides of different lengths and all angles less than 90 degrees. It does not have any equal sides or equal angles. Therefore, a picture of a scalene acute triangle would show three lines of different lengths connecting to form a triangle with three angles less than 90 degrees.

If you mean a scalene triangle then it has 3 sides of different lengths and 3 interior angles of different sizes.

No. triangle can have 3 sides all the same length and angle or it can have sides of differing lengths and angles. same for all other polygons.

An acute triangle has 3 sides of different lengths and 3 interior acute angles of different sizes

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You look at the lengths of the sided of the triangle. If the two lengths are same, the triangle is an isosceles triangle. If all the lengths are same, the triangle is an equilateral triangle. If none of the lengths are same, the triangle is a scalene triangle.

The three sides are of different lengths and the three interior angles are different too.

A scalene acute triangle is a triangle with all sides of different lengths and all angles less than 90 degrees. It does not have any equal sides or equal angles. Therefore, a picture of a scalene acute triangle would show three lines of different lengths connecting to form a triangle with three angles less than 90 degrees.

A badly sliced piece of pizzaA scalene triangle is a triangle where all sides are of different lengths and all angles are different values

If you mean a scalene triangle then it has 3 sides of different lengths and 3 interior angles of different sizes.

No. triangle can have 3 sides all the same length and angle or it can have sides of differing lengths and angles. same for all other polygons.

An acute triangle has 3 sides of different lengths and 3 interior acute angles of different sizes

I cut out the lengths to have a visual look at the problem and the answer is NO you cannot arrange 5cm, 12cm, and 19cm into a triangle. Even straightening out the lengths of 5cm and 12cm into a 180 degree angle will not measure out to the 19cm. You cannot have a side that is more than the length of the other two sides combined in a triangle.

Then it would be a false statement because an isosceles and an equilateral triangle have different geometrical properties as in regards to the lengths of their sides.

There is no such thing as a triangle with no sides. Every triangle must have at least three sides. The only shapes with no sides are an oval and a circle.

One factor that polygons have is the scale factor which is the ratio of the lengths of two corresponding sides of similar polygons. This would only pertain to two or more polygons of course. You could also look at a single polygon and find the GCF of the lengths of its sides. So for example if you have a 3,4,5 triangle, the GCF is 1. If you have a 6,8,10 triangle it is 2.

This would depend on what programming language you wanted to write it in. For example, in Pascal, the code might look like this: Program Isosceles; Var A, B, C : Real; Begin WriteLn('Input side A.'); ReadLn(A); WriteLn('Input side B.'); ReadLn(B); WriteLn('Input side C.'); ReadLn(C); If A = B Then Begin If B = C Then Begin WriteLn('This triangle is equilateral.'); End Else Begin WriteLn('This triangle is isosceles.'); And so on.