Special Triangles
This special triangle has two sides equal to x each other and the hypotenuse equal to x sqrt(2)
What is a 45-45-90 triangle?
This kind of number includes 1, 2, 3, ... (but not 0).
What are natural/whole numbers?
2x-5=17
What is x=11?
|x-5|=5
What is x={10,0}?
Many say the fellowship should have taken these to Mordor, but what's the point of writing that story?
What are eagles?
This special triangle has a hypotenuse equal to twice the length of its shortest side.
What is a 30-60-90 triangle?
These numbers are expressed as a ratio between two integers.
What are rational numbers?
7-4x=-21
What is 7?
|x+2|-7=2
What is x={7,-11}?
There are this many rings given to elves, dwarves, men, and Sauron.
What is 20? (1 for himself, 9 for Men, 7 for Dwarves, and 3 for Elves => 1+9+7+3=20)
It's the side length of a 45-45-90 triangle when the hypotenuse equals 15 sqrt(2)
What is 15?
pi, sqrt(2), and e are examples of this kind of number.
What is irrational?
(x-4)/6=5
What is x=34?
4|2x-3|=-5
What is no solution?
Bilbo is this many years old on his birthday at the beginning of LotR.
What is eleventy-one (111)?
It's the hypotenuse of a 30-60-90 triangle when the short leg equals 7 and the long leg equals 7 sqrt(3).
What is 14?
Both -1 and 1 are members of this set.
What are the integers?
(x/9)+1=(x/3)-5
What is x=27?
3|x-7|=9
What is x={4,10}?
This is the sum of both Frodo's and Bilbo's age during the birthday party. It's the same as the number of apostles times the number of tribes of Israel.
What is 144?
What are 1/2, sqrt(3)/2, and 1/sqrt(3)?
This set is made of the rationals and the irrationals.
What are the real numbers?
4/(x+3)=1/(x-1)
What is x=7/3?
(|x-7|/-2)+4=-1
What is x={-3,17}?
There are this many members of the Fellowship. It's also the square root of 81.
What is 9?