Right Triangle

This is an MCQ-based quiz for GRE on the topic of the Right Triangle.

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

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Daria and Ashley start at the same spot and walk their two dogs to the park, taking different routes. Daria walks 1 mile north and then 1 mile east. Ashley walks her dog on a path going northeast that leads directly to the park. How much further does Daria walk than Ashley?

1 mile 2 + √2 miles 2 – √2 miles Cannot be determined √2 miles

An equilateral triangle has a side length of 4. What is its height?

2√3 4 2√2 2 16

A right triangle"s perimeter is 3+sqrt(3). The other two angles of the triangle are 30 degrees and 60 degrees. Quantity A: The triangle"s hypotenuse length Quantity B: 2

Quantity B is greater. Quantity A is greater. The relationship cannot be determined from the information given. The two quantities are equal.

2 triangles are similar Triangle 1 has sides 6, 8, 10 Triangle 2 has sides 5 , 3, x find x

4 2 9 5 12

Quantitative Comparison Quantity A: The area of a triangle with a height of 6 and a base of 7 Quantity B: Half the area of a trapezoid with a height of 6, a base of 6, and another base of 10

The relationship cannot be determined from the information given. Quantity B is greater. Quantity A is greater. The two quantities are equal.

Quantitative Comparison Quantity A: the area of a right triangle with sides 10, 24, 26 Quantity B: twice the area of a right triangle with sides 5, 12, 13

The two quantities are equal. Quantity A is greater. Quantity B is greater. The relationship cannot be determined from the information given.

A triangle has three internal angles of 75, 60, and x. What is x?

45 60 110 90 75

Ratios of sides of a right triangle with respect to its acute angles are known as

Trigonometric identities Trigonometry Trigonometric ratios of the angles None of these

Which of the following sets of sides cannnot belong to a right triangle?

3, 4 ,5 2, 2, 2√2 2, 2√3, 4 6, 7, 8 5, 12, 13

What is the area of a right triangle with hypotenuse of 13 and base of 12?

60 156 30 78 25

Quiz/Test Summary

Title: Right Triangle

Questions: 10