Pythagorean Theorem and Word Problems

Which equation can be used to solve for "x"?

• 15² – x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² – 15² = x²

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

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

• True

• False

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 equation could be used to solve the problem?

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 

Find side "h" (wall height)

• 35.60

• 35.00

• 35.71

• 61.03

The top of a ladder is leaning against a vertical wall, 12 feet above the floor. The bottom of the ladder is resting on the floor, 9 feet from the base of the wall. How long is the ladder?

• 15 feet

• 17 feet

• 19 feet

• 21 feet

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.