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Range of Values for X in a triangle

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How do you find the range of values for x in a triangle if you are only given one side length, and an angle measure across from the side? And if the side with x is x+12 and across from it, the angle measure is 37 ish. I dont remember exactly 

Dec 17th, 2014

From the description you have provided, there is not enough information. You need to know more about the other sides in order to find a range of values for the third side using the triangle inequality (the sum of any two sides of the triangle is greater than the third side.)


Example: The sides of a triangle are 6, 15 and x. Find the range of values of x.

If x is the smallest or middle side then x + 6 > 15  making x > 9

If x is the largest side then 6 + 15 > x making x < 21

Putting those two answers together, you get the range of values 9 < x < 21


I know this does not directly answer your question, but I hope it helps!
Dec 18th, 2014

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Dec 17th, 2014
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