Pythagorean Theorem

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which diagram best represents the problem?

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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

Larry attached a string from the top of the flagpole to the ground.  The flagpole is 26 feet high and the string is 18 feet away from the flagpole.  How long is the string? 

• 352 feet 
• 31.6 feet 
• 44 feet 
• 6.6 feet 

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards
• 115 yards
• 127.3 yards
• 119 yards

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

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

side a on a right triangle is ALWAYS the longest side

• true
• false

What is the longest side of a right triangle called?

• Leg A
• Leg B
• Hypotenuse
• Pythagoras' Big Buddy

The size of a television screen is measured by the length of the diagonal of the screen.  What size is a television screen that is 3 feet tall and 6 feet wide?

• 18
• 6.7