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

Look at the triangle below.

AB = AC = BC

What type of triangle is it?

AAABBBCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

Look at the triangle below.

AB = AC = BC

What type of triangle is it?

AAABBBCCC

2

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.

3

Final Answer

Equilateral

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Is the straight line in the figure the height of the triangle?

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