45-45-90
30-60-90
Pythagorean Theorem
Radicals
Accuplacer
100
If one leg of a 45-45-90 is 4cm, find the other leg and hypotenuse
leg = 4cm hypotenuse = 4 radical 2 cm
100
If the short leg in a 30-60-90 is 3cm, what is the hypotenuse?
6cm
100
leg = 4, leg = 5, hypotenuse = ?
radical 41
100
Simplify radical 40
2 radical 10
100
Solve for x: 4 + 2(x - 15) - 20 = 4x + 2
x = -29
200
If the hypotenuse in a 45-45-90 triangle is 11.5 radical 2, then each leg is ...
11.5
200
If the long leg in a 30-60-90 is 5 radical 3, then the short leg is
5
200
leg = 5, leg = ?, hypotenuse =13
leg = 12
200
Simplify 2 radical 8 + 5 radical 18
19 radical 2
200
What is the solution to the following systems of equations? y = 2x + 5 3y = x
x = -3 y = -1
300
If the leg in a 45-45-90 triangle is 5 radical 3, then what is the measure of the other leg and hypotenuse?
leg = 5 radical 3 hypotenuse = 6 radical 6
300
If the hypotenuse in a 30-60-90 is 16, then the long leg is...
8 radical 3
300
Anna has let out 50 meters of kite string when she observes her kite is directly above Emily. If Anna is 35 meters from Emily, how high is the kite? (simplify as much as you can)
5 radical 51 meters
300
radical(6x-2) = 4, solve for x
x = 3
300
What is 5% of 68? WITHOUT A CALCULATOR! You must be able to explain your answer.
3.4 10% of 68 is 6.8 5% has to be half of 6.8, which is 3.4
400
The hypotenuse in a 45-45-90 triangle is 8 radical 10, what is the measure of each leg?
8 radical 5
400
If the short leg in a 30-60-90 is 2 radical 2, then the long leg is...
4 radical 2
400
The bases on a softball diamonds are 60 feet apart. How far is it from home plate to second base?
60 radical 2
400
Simplify: 5 + radical 8 / radical 15
5 radical 15 + 2 radical 30 / 15
400
Solve y = hx + 4x, for x (hint: what does the right hand side of the equation have in common?)
y / h + 4
500
The hypotenuse of a 45-45-90 triangle is 18.5 radical 14. What is the measure of each leg?
18.5 radical 7
500
If the long leg in a 30-60-90 is 6 radical 6, then the hypotenuse is...
12 radical 2
500
A 50 foot cable is stretched from the top of an antenna to an anchor point on the ground 15 feet from the base of the antenna. How tall is the antenna? (Simplify your answer as much as possible!)
5 radical 91
500
x = radical (-2x + 15)
x = -5, y = 3
500
One number is 5 more than twice another number. The sum of the numbers is 35. Find the numbers.
25 and 10
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