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 (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 right 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 regtangle 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 a leg of 45 and a hypotenuse of 51.  What is the length of the other leg?

What is 24 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
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