rebecca1233
The shorter leg of a 30°- 60°- 90° right triangle is 12.5 inches. How long are the longer leg and the hypotenuse?
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rebecca1233
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@tcarroll010
tcarroll010
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In a 30-60-90 degree right triangle, the shorter leg is half of the hypotenuse, so the hypotenuse is 25. Now, let "x" be the length of the longer leg:
x^2 + 12.5^2 = 25^2
x^2 = 25^2 - 12.5^2
So, just solve for "x" by squaring both terms on the right, adding them, and then taking the square root of that sum.
rebecca1233
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x=21
rebecca1233
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?
tcarroll010
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That's rounding a bit too much.
rebecca1233
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wait i have to solve both ?
tcarroll010
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approx. 21.65 is a better answer.
tcarroll010
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both what?
rebecca1233
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so the ansewer is 21.65
tcarroll010
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longer leg approximation
tcarroll010
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It's an irrational number, so if you want it in decimal form, it has to be approximated. The decimal points will go on forever otherwise.