ISEE Upper Level Quantitative : How to find the length of the side of an equilateral triangle

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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Example Questions

Example Question #2 : Equilateral Triangles

Which of the following could be the three sidelengths of an equilateral triangle?

Possible Answers:

Correct answer:

Explanation:

By definition, an equilateral triangle has three sides of equal length. We can identify the equilateral triangle by converting the given sidelengths to the same units and comparing them.

We can eliminate the following by showing that at least two sidelengths differ.

 

2 yards =  feet.

Two sides have lengths 6 feet and 7 feet, so we can eliminate this choice.

 

4 feet =  inches

Two sides have lengths 48 inches and 50 inches, so we can eliminate this choice.

 

5 feet =  inches

Two sides have lengths 48 inches and 60 inches, so we can eliminate this choice.

 

 yards =  feet

Two sides have lengths 4 feet and 5 feet, so we can eliminate this choice.

 

 yards =  feet =  inches 

All three sides have the same length, making this the triangle equilateral. This choice is correct.

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