ISEE Upper Level Quantitative : How to find the length of the side of a hexagon

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

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Example Questions

Example Question #1 : How To Find The Length Of The Side Of A Hexagon

Right_triangle

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Possible Answers:

The length cannot be determined from the information given.

Correct answer:

Explanation:

By the Pythagorean Theorem, the hypotenuse of the right triangle is 

 inches, making its perimeter

 inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

 inches.

Example Question #2 : How To Find The Length Of The Side Of A Hexagon

Right_triangle

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Possible Answers:

The length cannot be determined from the information given.

Correct answer:

Explanation:

By the Pythagorean Theorem, the hypotenuse of the right triangle is 

 inches, making its perimeter

 inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

 inches.

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