8 4 special rt triangles
Post on 02-Jul-2015
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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
• Example– Find x
x
x
5
45º
Special Right Triangles
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
•SPICSA
3021-20 all
Special Right Triangles
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