rebecca1233
The hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. What are the lengths of the longer leg and shorter leg?
@tcarroll010
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rebecca1233
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cwest50813
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short leg =11
longer leg= 11\[\sqrt{3}\]
rebecca1233
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huh
tcarroll010
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The shorter leg of a 3-60-90 degree right triangle is half the hypotenuse, so the shorter leg is 11.
Let "x" be the length of the longer leg, then:
x^2 + 11^2 = 22^2
x^2 = 22^2 - 11^2
cwest50813
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you multiply the 11 and the square root of three together to get longer leg
rebecca1233
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x^2 = 22^2 - 11^2 gives u 19.05?
tcarroll010
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yes.
rebecca1233
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so thats the longer leg?
tcarroll010
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yes.