SB En Geom 8­2 Completed.notebook
Lesson 8­2
November 07, 2012
Special Right Triangles
Where does a 45­45­90 degree triangle come from?
Find the hypotenuse...
h
2
h
3
Thm 8­5
4
h
x
4
3
2
h
x
45­45­90 Triangle Thm
In a 45­45­90 triangle, both legs are congruent and the length of the hypotenuse is √2 times the leg.
x√2
x
x
Nov 17­8:04 AM
Expl 1. Find the value of each variable. a.
b.
9
x
45
45
45
45 2√2
h
Ckpt 1. Find the length of the hypotenuse of a 45­45­90 triangle with legs of length 5√3.
Nov 17­8:09 AM
1
SB En Geom 8­2 Completed.notebook
November 07, 2012
The reverse...
Expl 2. Find the value of x.
45
6
x
45
Ckpt 2. Find the length of a leg of a 45­45­90 triangle with a hypotenuse of length 10.
Nov 17­8:12 AM
Expl 3. A high school softball diamond is a square. The distance from base to base is 60ft. To the nearest foot, how far does a catcher throw the ball from home plate to second base?
Baseball diamond
2
SB En Geom 8­2 Completed.notebook
November 07, 2012
Ckpt 3. A square garden has sides 100 ft long. You want to build a brick path along a diagonal of the square. How long with the path be? Round your answer to the nearest foot.
Meadow
Where does a 30­60­90 degree triangle come from?
Find the short leg and the long leg.
4
6
8
x
Thm 8­6
30­60­90 Triangle Thm
In a 30­60­90 triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is √3 times the shorter leg.
2x
x√3
x
Nov 17­8:18 AM
3
SB En Geom 8­2 Completed.notebook
November 07, 2012
Expl 4. Find the value of each variable.
5
d
30
60
f
Ckpt 4. Find the lengths of the legs of a 30­60­90 triangle with hypotenuse of length 12.
60
8
x
30
y
Nov 17­8:22 AM
Expl 5. The height of the sign is 1 m. Find the length of s of each side of the sign to the nearest tenth of a meter.
s
1m
½s
60
½s
Ckpt 5. If the sides are 1 m long, what is the height?
Nov 17­8:28 AM
4
SB En Geom 8­2 Completed.notebook
November 07, 2012
Homework
Lesson 8-2
1-26, 29-31
Nov 17­8:32 AM
5

Notes 9B Special Right Triangles_45 -45

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