Pythagorean Theory Word Problems

The sum of the squares of the leg lengths is equal to the square of the hypotenuse length.

• Theory of Relativity

• Newton's 3rd Law of Motion

• Pythagorean Theorem

• Murphy's Law

The longest side of a right triangle.

• Leg 1

• Leg 2

• Perimeter

• Hypotenuse

”Real-world” word problems often have ladders leaning against trees, houses, or other structures. In these problems, the ladder is this part of a right triangle.

• Vertex

• Leg

• It depends on the situation.

• Hypotenuse.

Find the value of x.

Mathematical Equivalence

ON

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

Find the missing length.

• 12

• 10

• 16

• 5

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

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

• 64

• 12

• 9

• 100

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

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