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

Practice Questions

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

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In the figure above, is a square and is three times the length of . What is the area of ?

2

Two sides of a given triangle are both . If one angle of the triangle is a right angle, then what is the measure of the hypotenuse?

3

What is the hypotenuse of a right triangle with side lengths and ?

4

A right triangle has legs of 15m and 20m. What is the length of the hypotenuse?

5

In order to get to work, Jeff leaves home and drives 4 miles due north, then 3 miles due east, followed by 6 miles due north and, finally, 7 miles due east. What is the straight line distance from Jeff’s work to his home?

6

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If and , how long is side ?

7

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Given the right triangle in the diagram, what is the length of the hypotenuse?

8

To get from his house to the hardware store, Bob must drive 3 miles to the east and then 4 miles to the north. If Bob was able to drive along a straight line directly connecting his house to the store, how far would he have to travel then?

9

In a right triangle, the lengths of the two smallest sides are 5 and 12. Find the length of the hypotenuse.

10

You leave on a road trip driving due North from Savannah, Georgia, at 8am. You drive for 5 hours at 60mph and then head due East for 2 hours at 50mph. After those 7 hours, how far are you Northeast from Savannah as the crow flies (in miles)?

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