Transcript Musical Math

Materials
Reminders
Get out your agenda if you see
your name below. I would like
to have you in my FLEX
tomorrow.
Period 2
Period 7
Replace each ___ with >, <, or
= to make it a true sentence.
1. 12 ___ 3.5
2. 41 ____ 6.4
17
3. 5.6 ___
3
3-5 The Pythagorean
Theorem
How do I use the
Pythagorean Theorem?
Important
Vocabulary
A RIGHT TRIANGLE (90°) has two LEGS (a and b) and a HYPOTENUSE (c)
a
c
b
Pythagorean Theorem – the relationship between the legs and hypotenuse of
any right triangle.
𝑎2 + 𝑏2 = 𝑐 2
𝑤ℎ𝑒𝑟𝑒 a and b are the leg lengths and c is the hypotenuse
Questions:
How do I find
the hypotenuse
given the two
legs?
Notes:
10
c
15
Pythagorean Theorem - (𝑎2 +𝑏2 = 𝑐 2 )
102 + 152 = 𝑐 2
100 + 225 = 𝑐 2
325 = 𝑐 2
325 = 𝑐 2
18.03 = 𝑐
𝑐2 = 𝑐 × 𝑐 = c
Questions:
How do I tell if
a triangle is a
RIGHT
TRIANGLE?
Notes:
15
10
5
Pythagorean Theorem - (𝑎2 +𝑏2 = 𝑐 2 )
102 + 52 = 152
?
100 + 25 = 225
125 ≠ 225
The triangle is not a right triangle.
Quick Rap
http://www.youtube.com/watch?v=nbopLhP4kpo
Homework
Page 165-166; 8-21, and
33-34
AND Cornell Notes
Summary