How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem

Practice Questions

GRE Quantitative Reasoning › How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem

Questions
7
1

Max starts at Point A and travels 6 miles north to Point B and then 4 miles east to Point C. What is the shortest distance from Point A to Point C?

2

Which set of side lengths CANNOT correspond to a right triangle?

3

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?

4

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

5

Kathy and Jill are travelling from their home to the same destination. Kathy travels due east and then after travelling 6 miles turns and travels 8 miles due north. Jill travels directly from her home to the destination. How miles does Jill travel?

6

Square is on the coordinate plane, and each side of the square is parallel to either the -axis or -axis. Point has coordinates and point has the coordinates .

Quantity A: 5\sqrt{2}

Quantity B: The distance between points and

7

Each of the following answer choices lists the side lengths of a different triangle. Which of these triangles does not have a right angle?

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