Pythagorean Theorem Problems

To get from one side of the pond to the other you must walk 34 meters south and 41 meters east.  To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.  

• 53

• 22

• 75

• 9

Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?

• 60 feet

• 20 feet

• 180 feet

Two joggers run 8 miles north and then 5 miles west.  What is the shortest distance back to their starting point to the nearest tenth of a mile?

• 13

• 9.4

• 6.2

• 9

Find h

• 35.60

• 35.00

• 35.71

• 61.03

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

• 44.1 km

• 59 km

• 47.8 km

• 33 km

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

• 65 miles

• 89 miles

• 45.4 miles

• We don't have enough information.

Lightning struck a tree, causing it to break and crash to theground. The tree broke off 12 feet above the ground and thebroken part was 20 feet long. If the broken tree formed a right triangle, how far away is the tip of the fallen tree?

A company must stretch a cable from the top of a tower that is 25 meters high to a point 50 meters away from the base of the tower. How long is the length of the cable? (Round to the nearest tenth).

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet