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

Practice Questions

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

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

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Screen_shot_2013-03-18_at_10.21.29_pm

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

3

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?

4

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

5

Trig_id

If and , how long is side ?

6

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?

7

Rt_triangle_letters

If angle , and , what is the value of ?

8

Screen_shot_2013-09-16_at_11.16.22_am

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

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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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