Questions: Classify the following triangle as scalene, isosceles, or equilateral by the lengths of its three sides: 5 mm, 17 mm, 17 mm.

Classify the following triangle as scalene, isosceles, or equilateral by the lengths of its three sides: 5 mm, 17 mm, 17 mm.
Transcript text: Classify the following triangle as scalene, isosceles, or equilateral by the lengths of its three sides: $5 \mathrm{~mm}, 17 \mathrm{~mm}$, 17 mm.
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Solution

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Solution Steps

Step 1: Identify the given side lengths

The given side lengths of the triangle are 5 mm, 17 mm, and 17 mm.

Step 2: Determine the type of triangle based on side lengths
  • A scalene triangle has all sides of different lengths.
  • An isosceles triangle has at least two sides of equal length.
  • An equilateral triangle has all three sides of equal length.
Step 3: Classify the triangle

Since the triangle has two sides of equal length (17 mm and 17 mm), it is an isosceles triangle.

Final Answer

The triangle is an isosceles triangle.

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