Pythagorean Theorems

The model represents what relationship?

To find the hypotenuse, you add a² + b², then square root.

• True

• False

Find the missing length.

• 18.9

• 13.4

• 5.3

• You can't solve if the side lengths are decimals.

The longest side of a right triangle is always

• a

• b

• c

• The letter doesn't matter.

The longest side of a right triangle is called

• Pythagoras

• Hypotenuse

• Leg

• Ralph

State if the 3 sides form an acute, obtuse, or right triangle.

5, 12, 13

• acute

• right

• obtuse

State if the 3 sides form an acute, obtuse, or right triangle.

6, 8, 10

• acute

• right

• obtuse

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

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?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

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