Pythagorean Theorem
30-60 90
45-45-90
Simplifying Radicals
Miscellaneous
100

In a right triangle with legs of 9 and 12 detrmine the length of the hypotenuse.

What is 15

100
In a 30-60-90 right triangle the length of the hypotenuse is equal to
What is twice the short leg
100

The triangle has a leg of 8, what is the length of the hypotenuse?

8sqrt2

100

sqrt25+sqrt36

11

100

A triangle has side lengths of 7, 12 and 11. Substitute the side lengths in the pythagorean theorem. You do not need to solve just plug in!!

What is 7^2 + 11^2 = 12 ^2

200

In a right triangle with a leg of 6 and hypotenuse 8, determine the length of the other leg.

b=2sqrt7

200

The short leg is equal to 5, determine the lengths of the other sides.

10 and 5sqrt3

200

The length of the hypotenuse is 10 sqrt 2, what are the lengths of the legs?

What is 10

200

sqrt72

6sqrt2

200

What kind of triangles are all 45-45-90 triangles? (give both names)

Right Isosceles

300
Is a triangle with sides of 6, 9 and 13 a right triangle?
What is NO
300

The hypotenuse is 12, determine the lengths of the other sides.

6 and 6sqrt3

300

The length of the hypotenuse is 20, what are the lengths of the legs? Radicals CANNOT be in the denominator (on bottom).

What is 20/ sqrt 2 (or10 sqrt 2)

300

sqrt125

5sqrt5

300

What is mr Valdez favorite color?

blue

400

What is the length of the diagonal of a rectangle with sides of 15 and 20? 

What is 25

400
The length of the long leg is 7 sqrt 3, what is the length of the short leg and the hypotenuse?
What is the short leg is 7 and the hypotenuse is 14
400

A square has a side length of 16, what is the length of the diagonal?

16sqrt2

400

sqrt64/sqrt4

4

400

How many dogs does mr Valdez have?

2

500

Do these lengths make a right triangle?

13, 5 , 9

500

The length of the hypotenuse is 9, determine the lengths of the other sides.

4.5 and 4.5sqrt3

500

A square has a diagonal of 12 sqrt 2, what is the area of the square? (Round to the nearest hundredth if necessary)

What is 144

500

2sqrt8

4sqrt2

500
Is a 3-4-5 right triangle similar to a 16.2 - 21.6 - 27 right triangle?
What is YES