"The sum of the
square roots of
any two sides of
an isosceles
triangle is equal
to the square
root of the
remaining side."
Scarecrow
8.6 The Pythagorean Theorem
2
1 =1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102= 100
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225
162 = 256
172 = 289
182 = 324
192 = 361
202 = 400
Pythagorean Theorem:
Practice:
a)
5
1.
a2 + b2 = c2
b)
7
24
5
c)
5
13
d)
4
9
2.
The base of a 12‐foot ladder is placed 3 feet away from the wall.
How far up the wall does it reach?
3.
In order to get to school you drive 5 miles south then 7 miles
east. If you could drive directly to school without any obstructions
("as the crow fly's"), how far would you have to drive?
Term
Perimeter
• regular
• rectangle
Area
Area of
irregular figure
Area of Δ
Definition/formula
Example
Perimeter of a regular
octagon with side = 10
P = 8(10)
P = 80 units
Distance around
P=n s
P=2 +2
l w
7
A=l w
Or A = b h
h
b
3
Count full sq's, count partial sq's
A = (full + 1/2 partials) Area of 1
small square
AΔ = 1/2 b h
b
h
7
10
Area of Trapezoid
A = 1/2 h(b1 + b2) b
h
3
A=b h
b
h
17
4
A = 1/2 (10)(7)
A = 35 units2
A= 1/2(5)(9+3)
A = 30 units2
5
9
Area of
parallelogram
A = 3(7)
A = 21 units2
A = 4(17)
A = 68 u2
Erasable . . .
Attachments
Scarecrow gets a brain