Pythagorean Theorem Review

Right, Acute, or Obtuse

100

5, 12, 13

Right

200

3, 6, 9

Obtuse

300

5, 8, 9

Acute

400

16, 30, 34

Right

500

48, 56, 64

Acute

Pythagorean Theorem: Easy

100

Find the measure of the hypotenuse of a right triangle that has leg measurements of 6 and 8.

10

200

Find the measure of the hypotenuse of a right triangle that has leg measurements of 10 and 24.

26

300

A right triangle has a hypotenuse of 12 and one leg measures 6. What is the length of the other leg?

10.4

400

A right triangle has a hypotenuse of 18 and one leg measures 5. What is the length of the other leg?

 17.3

500

A rectangle has a length of 12, and a height of 16. What is the length of the diagonal of the rectangle?

20

Pythagorean Theorem: hard

100

Find the diagonal of the rectangular prism or cube with the following measurements. Length: 5 Width: 5 Height: 5

8.7

200

Find the diagonal of the rectangular prism or cube with the following measurements. Length: 10 Width: 6 Height: 6

13.1

300

Find the diagonal of the rectangular prism or cube with the following measurements. Length: 8 Width: 4 Height: 5

10.3

400

A triangle has measurements of 10, 8, and 5 mm. Is it a right triangle

No

500

A triangle has sides of 15, 20. What can be the third side? **hint there are 2 answers

25 and 5√7 (13.2)

Word Problems

100

Mary is flying a kite. The length of the kite string is 55 feet and she is positioned 40 feet away from beneath the kite. About how high is the kite?

37.7 feet

200

A floor exercise mat measures 40 ft by 40 ft. Find the measure of the diagonal.

56.6 feet

300

Alex is pushing a man in a wheelchair up a ramp. The slant of the ramp is 50 feet long. The height of the ramp is 4 feet. What is the ground distance of the ramp?

49.8 feet

400

A 13 foot ladder is leaning against a building. The base of the ladder is 5 feet from the building. How high on the building is the ladder?

12 feet

500

If a 35 inch TV screen is 26 inches long, how tall is the screen?

23 inches

Distance Formula

100

Distance formula is...

d² = (x₁-x₂)² + (y₁-y₂)² 

200

What is the distance between (8, 12) and (6,4)?

8.2

300

What is the length of a line segment which has endpoints at (-4,9) to (3, 7)? (Round to the nearest tenth.)

7.3

400

Find the value of a if the distance between the points at (7, 5) and (a, -3) is 10 units.

The missing coordinates are 1 or 13

500

Find the value of a if the distance between the points at (10, a) and (1, -6) is √145 units.

The missing coordinates are -14 or 2