Pythagorean Theorem and Graphing

A 14-foot ladder is set up 4 feet from the base of a building.  How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.

• 13.4 feet

• 14.6 feet

• 16.5 feet

• 18.0 feet

What is the length of the diagonal of the rectangular solid shown?

• 5 cm

• 13 cm

• 6cm

• 12.3

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

”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.

The longest side of a right triangle.

• Leg 1

• Leg 2

• Perimeter

• Hypotenuse

The sum of the leg lengths of a right triangle are always ____________ the length of the hypotenuse.

• greater than

• less than

• equal to

• the square of

Determine the distance between each given pair of points by graphing and connecting the points, creating a right triangle, and applying the Pythagorean Theorem. Round to the nearest hundredth, if necessary.

(2, 2) and (8, 5)

Round to the nearest hundredth.

Tags

8.7D

Determine the distance between each given pair of points by graphing and connecting the points, creating a right triangle, and applying the Pythagorean Theorem. Round to the nearest hundredth, if necessary. (3, 7) and (7, 3) Round to the nearest hundredth.

Tags

8.7D

Determine the distance between each given pair of points by graphing and connecting the points, creating a right triangle, and applying the Pythagorean Theorem. Round to the nearest hundredth, if necessary.

3. (-6, 8) and (6, 3)

Round to the nearest hundredth if needed.

Tags

8.7D

Determine the distance between each given pair of points by graphing and connecting the points, creating a right triangle, and applying the Pythagorean Theorem. Round to the nearest hundredth, if necessary.

4. (7, 5) and (3, -3)

Round to the nearest hundredth if needed.

Tags

8.7D