Triangle Classification: Analyzing Three 8-Unit Sides for Different Lengths

Given the values of the sides of a triangle, is it a triangle with different sides?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's find out if this triangle has sides that are all different lengths.
00:12 We can see from the given side lengths that this triangle is equilateral. That means all sides are equal.
00:19 Great job! And that's how we determine the type of triangle based on its sides.

Step-by-step written solution

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1

Understand the problem

Given the values of the sides of a triangle, is it a triangle with different sides?

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2

Step-by-step solution

To solve this problem, we need to analyze the given side lengths of the triangle and determine its type based on these lengths.

The side lengths provided are 8, 8, and 8.

According to the definitions of triangle types:

  • An equilateral triangle has all sides equal.
  • An isosceles triangle has at least two sides equal.
  • A scalene triangle has all sides different.

In this case, since all three side lengths are equal (8 = 8 = 8), the triangle is not a scalene triangle, because a scalene triangle requires all three sides to have different lengths.

Therefore, the triangle with sides 8, 8, and 8 is not a scalene triangle. The answer is No.

3

Final Answer

No

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In a right triangle, the side opposite the right angle is called....?

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