Pythagorean Theorem
30-60 90
45-45-90
Simplifying Radicals
Trigonometry
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
Find the missing measure...
What is 4.4
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
Find the missing measure:
What is 10.3
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
What is 10.8
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 8 inches. Find the length of a side.
What is
4sqrt(2)
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
In an equilateral triangle, find the length of a side given the height of the triangle is
6sqrt(3)
What is 12