Which of the following triangles are equilateral triangles?

Answer

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Step by Step Solution

Step 1

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

Step 2

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

Step 3

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

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.

Step 5

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