Problems With Pythagorean Theorems

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in

• 12.4 in

• 13.6 in 

• 14.3 in

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

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

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

• 6

• 6.7

• 3

• 15.7

• None of them

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

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.