Triangle Classification: Identifying the Type When AB = AC = BC

Question

Look at the triangle below.

AB = AC = BC

What type of triangle is it?

AAABBBCCC

Video Solution

Solution Steps

00:00 Determine which type of triangle is given
00:03 All sides are equal according to the given information
00:07 In a triangle where all sides are equal, all angles are equal to 60
00:11 A triangle with all equal sides is an equilateral triangle
00:14 This is the solution

Step-by-Step Solution

To classify the triangle, observe that all three sides are equal as given by AB=AC=BC AB = AC = BC . This equality of all three sides fits the definition of an equilateral triangle, which is a triangle where all sides have the same length.

Thus, the type of triangle is equilateral.

Answer

Equilateral

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Related Subjects

The Sum of the Interior Angles of a Triangle The sides or edges of a triangle Triangle Height Exterior angles of a triangle Median in a triangle Center of a Triangle - The Centroid - The Intersection Point of Medians All terms in triangle calculation