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

In a right triangle with legs of 9 and 12 determine the length of the hypotenuse (round to 2 decimal places if necessary)

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 os the hypotenuse?
What is 8 sqrt 2
100

Simplify

sqrt(25)+sqrt(36)

What is 11

100

A triangle has side lengths of 7, 12 and 11. Substitute the side lengths in the Pythagorean theorem.

What is  7^2 + 11^2 = 12 ^2 

200
In a righ triangle with a leg of 6 and hypotenuse 8, determine the length of the other leg (round to two decimal places if necessary)
What is 5.29
200
The short leg is equal to 5, deteermine the lengths of the other sides.
What is the hypotenuse is 10 and the long leg is 5 sqrt3
200
The length of the hypotenuse is 10 sqrt 2, what are the lengths of the legs?
What is 10
200

Simplify

sqrt 72

What is 

6 sqrt 2

200

Write down 2 unrelated Pythagorean triples.

What is 3,4,5; 5,12,13; 7,24,25; 8,15,17

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.
What is the short leg is 6 and the long leg is 6 sqrt 3
300

The length of the hypotenuse is 20, what are the lengths of the legs?

What is 20/ sqrt 2 (or10 sqrt 2)

300

Simplify

 sqrt 125 

What is 

5 sqrt 5

300

A rectangle has an area of 30 square units. One side is 10 units. What is the length of the diagonal? (Round to the nearest hundredth if necessary)

What is   sqrt 109  or 10.44

400
What is the length of the diagonal of a rectangle with sides of 15 and 20? (Round to the nearest hundredth if necessary)
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?
What is 16 sqrt 2
400

Simplify  4/ sqrt 3 

What is 

(4 sqrt 3)/3

400
A square has a diagonal of length 4 sqrt 2. What is the area?
What is 16
500
A right triangle has an area of 24 square inches and one leg is 16 inches, what is the length of the other leg?
What is 3 inches
500
The length of the long leg is 9, determine the lengths of the other sides.
What is the short leg is 3 sqrt 3 (or 9/sqrt 3) and the hypotenuse is 6 sqrt 3 (or 18/sqrt 3)
500
A square has a diagonal of 12, what is the area of the square? (Round to the nearest hundredth if necessary)
What is 72
500

Simplify  8/sqrt 2 

What is 

4 sqrt 2

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