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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.7

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

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.8

Find the missing length.

• 12

• 10

• 16

• 5

Tags

CCSS.HSG.CO.C.9

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Tags

CCSS.8.G.B.7

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

• 64

• 12

• 9

• 100

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8