Download 2.! You are given 3 prime numbers a 1, a2, and an, and m, with m

Name ______________________
MATH 119: The Pythagorean School
1.! Using the Diagram below, and complete the following problems to prove the Pythagorean theorem.
a)! Find the area of the trapezoid above
b)! Find the sum of the areas of the three triangles
c)! Set the two equations equal to each other(since they are equal)then simplify.
2.! You are given 3 prime numbers a1, a2, and an, and m, with m equaling the least common
prime of the three prime numbers. Add 1 to m and prove that whether or not m + 1 is
prime or not, the number of prime numbers infinite.
N"
61"
Pitch"Number"
6"
Ratio"
1024:729"
Frequency"
"
5"
4"
3"
2"
1"
0"
1"
1"
8"
3"
T"
5"
0"
7"
256:243"
128:81"
32:27"
16:9"
4:3"
1:1"
3:2"
"
"
"
"
"
448"
"
2"
3"
4"
5"
2"
"
4"
E"
9:8"
27:16"
81:64"
243:128"
"
"
"
"
62"
6"
729:512"
"
"
To"do"this,"simply"observe"the"following:"
!"#$%&'#(%)*+*,%-'*!.'/"'#01 = #34567589: "
"
What"is"the"difference"between"61"and"62:"
"
Ascending
Descending
3.! Tuning Systems in Practice
Please complete the following table: