Equilateral Triangle Practice

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Question 1

Which of the following triangles are equilateral triangles?

identify all the equilateral triangles

Answer

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Select and check your answer...

A. I & III
B. I & IV
C. II & III
D. II & IV

Step by Step Solution

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    Step 1

    For triangle I, it has three sides of equal length (5ft). Hence, it is an equilateral triangle.

    Triangle I is an equilateral triangle
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    Step 2

    As for triangle II, it is not an equilateral triangle. This is because each of its internal angle is not 60°.

    Triangle II is not an equilateral triangle
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    Step 3

    As for triangle III, not all the sides have the same length. Therefore, it is not an equilateral triangle.

    Triangle III is not an equilateral triangle
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    Step 4

    For triangle IV, its internal angles are 60° each. This means that all the sides of the triangle have the same length. Hence, this is an equilateral triangle.

    Triangle IV is an equilateral triangle
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    Step 5

    Clearly, only triangle I and IV are equilateral triangles. Therefore, the answer is B.

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