Unit 8 Review

Pythagorean Theorem:Basic

100

What is the Pythagorean Theorem?

a²+b²=c²

200

Are the following measurements a right triangle?

a=3 b=4 c=5

300

Are the following measurements a right triangle?

a=8 b=10 c=16

400

Find the missing side length.

a=4 b=? c=12

500

Find the missing side length.

a=? b=12 c=20

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, and 25 meters. Is this a right triangle?

Yes

Distance Formula

100

What is the distance formula?

(x₂-x₁)²+(y₂-y₁)²=c²

200

Find the distance between (0,0) and (2,1)

2.2

300

Find the distance between (0,-6) and (3,7)

13.3

400

Find the distance between (3,4) and (-1,1)

5

500

Find the distance between (-3,-4) and (-9,-12)

10

Random

100

Do the following measurements of a triangle form a right triangle? a=18 b=24 c=30

yes

200

Find the distance between the points (0,3) and (0,-5)

8

300

Find the missing length. a=? b=20 c=24

13.3

400

Find the length of the diagonal of a cube with side measurements of 8 units.

13.9

500

Find the distance between the points (4,0) and (1,0)

3