8 4 Special Rt Triangles Noted
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8-4 Special Right Triangl es
description
Transcript of 8 4 Special Rt Triangles Noted
8-4
Special Right
Triangles
Special Right Triangles
• 45-45-90 Theorem– In a 45º - 45º - 90º
triangle, the hypotenuse is 2 times as long as each leg
x
xx√2
• Example– Find x
3
3
x
45º
Special Right Triangles
Find x
14%
0%
73%
14%
5√8
x
45º1. 10√8
2. 20
3. 12
4. 5√16
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Find x
4%
38%
0%
58%
x
6
45º1. 6/√2
2. 6√2
3. 3√2
4. 6√3
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Special Right Triangles
• 30-60-90 Theorem– In a 30º - 60º - 90º
triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is 3 times as long as the shorter leg.
60º
30º
2x
x
x√3
• Example– Find s,t
s
5
t
60º
Special Right Triangles
Find x
0%
17%
83%
0%
x
660º
1. 9
2. 3√3
3. 3√2
4. 1.5√3
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Find x
26%
17%
17%
39%
x 18
30º1. 6√3
2. 36/√3
3. 18√2
4. 12√3
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•SPICSA
3021-20 all
Special Right Triangles
