GRE Math : How to find if right triangles are similar

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #1 : How To Find If Right Triangles Are Similar

Quantitative Comparison

Quantity A: The area of a triangle with a perimeter of 34

Quantity B: 30

Possible Answers:

Quantity B is greater.

The relationship cannot be determined from the information given.

The two quantities are equal.

Quantity A is greater.

Correct answer:

The relationship cannot be determined from the information given.

Explanation:

A triangle with a fixed perimeter does not have to have a fixed area. For example, a triangle with sides 3, 4, and 5 has a perimeter of 12 and an area of 6. A triangle with sides 4, 4, and 4 also has a perimeter of 12 but not an area of 6. Thus the answer cannot be determined.

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