All three sides are congruent. Congruent just means they are equal.

All three angles are also congruent, which is also called equiangular.

The angles in an equilateral triangle add to 180 degrees and the angles are congruent, therefore the angle measure equals 60 degrees.

3* s

Triangles have three sides and three angles, but what is an equilateral triangle? In Euclidean Geometry the specifics of an equilateral triangle are as follows.

60

60

60

4.1

4.1

4.1

s = side length

s

s

Hi Welcome to MooMooMath. Today we are going to look at Equilateral Triangles. I have drawn two different triangles. The first one we know is equilateral because all three sides are marked congruent. You might see a congruent symbol, (points to triangle) or you might see that the measure of each side is equal. There are two ways to show that the different sides are equal. On the second one let’s look at it in perspective of the actual measure of the angles. We know that a triangle adds up to 180 degrees. So if we have three equal angles we are going to take that and divide it by three. One hundred and eighty divided by three is equal to sixty. Therefore, each of these angles have to measure 60 degrees. If the three angles measure 60 then it is an equilateral triangle. So let’s look at the rules. The first rule is that all three sides of the triangle are congruent which just means they are equal. Second, all three angles have to be congruent.Finally, the measure of the angles will always be 60 degrees. Hope this video was helpful.