Pythagorean Mixed

Do the following lengths make a right triangle?

• Yes, it makes a right triangle

• No, the square of the hypotenuse is less than the sum of the squares of the legs.

• No, the square of the hypotenuse is larger than the sum of the squares of the legs.

The following sides make a right triangle:

a: 96

b: 110

c: 146

• True

• False

Do the provided lengths create a right triangle.

• Yes, the provided lengths create a right triangle

• No, the lengths of a²+b² are greater than c²

• No, the lengths of a²+b² are less than c²

Find the missing side:

• 9

• 3

• 6.4

• 4.1

Find the length of the missing side?

• 15

• 17

• 22

• 13

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?

• 79 meters

• 150 meters

• 180 meters

• 210 meters

A rectangular park has been constructed in downtown Lilburn. The designer wants to put a gravel walkway that cuts diagonally through the park. The width is 8ft and the height is 6ft long. What is the length of this walkway?

• 23 feet

• 13 feet

• 10 feet

• 7 feet

Matt is a catcher for his school's baseball team. The catcher must be able to throw from home plate to second base. What is the distance from home plate to second base?

• 180

• 90

• 127.3

• 180.5

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

A 15 ft ladder is leaning against a building. The base of the ladder is 9 ft from the building. How high up does the ladder reach?

• 12

• 15

• 9

• 10