Even though you're saying that you're missing the long side of the triangle, it still will not be longer than the hypotenuse, which is the longest side of the 3.
OpenStudy (imstuck):
Here's how it will look, but you don't need a picture to do the math. What would you use? It's a theorem.
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OpenStudy (imstuck):
|dw:1412117823585:dw|
OpenStudy (anonymous):
theorem 5-12?
OpenStudy (anonymous):
@IMStuck
OpenStudy (anonymous):
@sammixboo
@sleepyhead314
OpenStudy (sleepyhead314):
|dw:1412110997925:dw|if x = 5 then plug into (missing side) = x sqrt(3)
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OpenStudy (anonymous):
8? im totally confused:((
OpenStudy (sleepyhead314):
(missing side) = x sqrt(3)
plug in 5 for x
that would be your answer
OpenStudy (anonymous):
so its 8?
OpenStudy (anonymous):
@sleepyhead314
OpenStudy (sleepyhead314):
no... what do you get when you plug in 5 for x
into x sqrt(3) ?
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OpenStudy (imstuck):
The triple for the 30-60-90 is this: (x, x sqrt 3, 2x). The x represents the shortest side, which here is 5. That's why the hypotenuse is 10...5*2 is 10. For the other leg, you have\[x \sqrt{3}\]If x is 5, then what is the measure of that leg?