Apply the Pythagorean Theorem

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

• 7

• 5

• 11

• 25

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

• G
• O
• E
• X

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach? 

• 12 feet

• 13.5 feet

• 13 feet

• 11.6 feet

Find the value of x.

Mathematical Equivalence

ON

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Solve for the length indicated.

• 9

• 10

• 11

• 12

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

Solve for the variable x.

• x = 3.2

• x = 80

• x = 3

• x = 6