The Pythagorean Theorem
Special Right Triangles
Radians & Degrees
Unit Circle/Conversions
Riddles
100
Do the following sides lengths create a right triangle? √3, √4 and √5? (Check using the pythagorean theorem)
No
100
In a 30-60-90 triangle, the short leg is 1. How long is the long leg AND the hypotenuse? Your answer should be in simplified radical form.
Long leg is √3
Hypotenuse is 2
100
How many radians is a full revolution?
In other words, 360o is equivalent to this many radians.
2pi radians
100
sin(90)
1
100
The more you take, the more you leave behind. What am I?
Foot steps
200
sqrt17
200
If 45-45-90 triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
200
Convert radians to degrees.
pi/3
60o
200
cos((pi)/6)
sqrt3/2
200
Which fish costs the most?
A Goldfish
300
If a lamppost 12 feet tall creates a shadow 5 feet long what is the distance between the top of the lamppost and the part of the shadow farthest away from it?
13 feet
300
In a 45-45-90 triangle, one of the legs is √3. How long is the hypotenuse? Your answer should be in simplified radical form.
√6
300
Convert to radians.
30o + 60o
pi/2
300
Find the value of sin(60o).
sqrt3/2
300
What 5-letter word typed in all capital letters can be read the same upside down?
SWIMS
400
A right triangle has a leg length 6 and a hypotenuse length 10. What is the length of the other leg?
8
400
In a 45-45-90 triangle, one of the legs is √51. How long is the other leg? Your answer should be in simplified radical form.
√51
400
Write a proportion and solve to convert 86o to radians.
86^o/180^o=x/pi =>x=43pi/90approx1.5
400
Evaluate
cos(pi/3)+sin(pi/6)
1
400
How do you spell COW in thirteen letters?
See O Double You
500
In a right triangle, the hypotenuse is 9 and one of the legs is 6. How long is the other leg? Your answer should be in simplified radical form.
3√5
500
If the long leg of a 30-60-90 triangle is 6 what is the length of the hypotenuse AND the short leg?
Short leg is 2√3
Hypotenuse is 4√3
500
Solve for x.
sin(pi/6+x)=sqrt2/2
pi/12
500
Find the value of
tan(pi/6)
sqrt3/3
500
What is 3/7 chicken, 2/3 cat, and 2/4 goat?
Chicago