D5 45 45 90 Triangles Notes.notebook

D5 45 45 90 Triangles Notes.notebook
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January 24, 2013
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
Characteristics of Isosceles Triangles
Sides
Angles
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
B
A
B
C
C
C
9
A
C
A
5
B
B
A
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
7.4 Special Right Triangles
45 ­ 45 ­ 90 Triangle Theorem
In a 45 ­ 45 ­ 90 triangle, the hypotenuse is ___ times as long as each leg. 45
hypotenuse = leg ___
x
45
x
Ex 1 Find the length of the hypotenuse
a. 8
b. x
45
15
45
x
c. x
d. x
4√2
4√2
e. x
9√2
45
√2
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
Ex. 2 Find the lengths of the legs in the triangle a. b. 6√2
x
45
3√2
x
c. d. √2
12√2
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
Ex 3
a
b
5
12
45
45
x
c
d
3√2
2
x
4√6
45
45
x
x
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
D5 45 45 90 Triangles Notes.notebook
January 24, 2013
Homework: 7.4 w.s. # 1­6, 15, 18
D5 45 45 90 Triangles Notes.notebook
January 24, 2013