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A triangle has side lengths of 16 feet, 9 feet, and 18 feet. Is this triangle equilateral?yesnoSubmit

Question

A triangle has side lengths of 16 feet, 9 feet, and 18 feet. Is this triangle equilateral?

yes
no
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Solution

To determine if a triangle is equilateral, we need to check if all its sides are equal. An equilateral triangle has three sides of equal length.

Step 1: List the side lengths

  • Side 1: 16 feet
  • Side 2: 9 feet
  • Side 3: 18 feet

Step 2: Check for equality

An equilateral triangle requires that: Side 1=Side 2=Side 3 \text{Side 1} = \text{Side 2} = \text{Side 3}

Step 3: Compare the side lengths

  • 16 feet9 feet 16 \text{ feet} \neq 9 \text{ feet}
  • 16 feet18 feet 16 \text{ feet} \neq 18 \text{ feet}
  • 9 feet18 feet 9 \text{ feet} \neq 18 \text{ feet}

Final Answer

Since all the side lengths are not equal, the triangle is not equilateral. Therefore, the answer is no.

This problem has been solved

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