Pythagorean Theorem and Converse

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

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

Given these side lengths, classify the triangle.

• Acute

• Obtuse

• Right

• Not a triangle

Given these side lengths, classify the triangle.

• Acute

• Obtuse

• Right

• Not a triangle

Name the longest side of a right triangle.

• leg a

• leg b

• leg 

• hypotenuse

Find the missing side

• 11

• 61

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m

Given these side lengths, classify the triangle.

• Acute

• Obtuse

• Right

• Not a triangle

Given these side lengths, classify the triangle.

• Acute

• Obtuse

• Right

• Not a triangle