Angle Loc
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Angle Loc
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About the Author
Janitorial Supplies - Rydoexpress is a leading provider of quality janitorial cleaning products including laundry products, sponges, scrubbers, squeegees and washers. We have a wide selection of janitorial cleaning supplies.
How do you find the angles of a triangle given only three sides?
I know that you are supposed to use the "Law of Cosines" (or at least that is what I am being taught to do, so please give me an answer in context of that) but I am not positive as to how to go about doing that. I understand how to use the "LoC" to find a missing side, just not the missing angles.
I forgot to mention that it is not a right triangle.
I guess I should add the question I'm trying to answer. I don't need you to give me the answer, I just need to know how you got it. The three sides are 2500, 1500, and 1700. I am being asked to find the measure of the largest angle. Hopefully that helps.
EDIT:
For your example, the largest angle is between 1500 and 1700
Let it be x
Then cos(x) = (1500^2 + 1700^2 - 2500^2) / (2 * 1500 * 1700) using second formula
And x = 103 degrees
----------------------------
The cosine rule is:
c^2 = a^2 + b^2 - 2a*b*cosC
or cos C = (a^2 + b^2 - c^2) / (2a*b)
where a, b, and c are the lengths of the three sides, and A, B and C are the opposite angles.
To find the angle between a side of length 2 and 3, with the third side 9, then just sub a = 2, b = 3, c = 9 into the second formula:
cos C = (4 + 9 - 81) / (2 * 2 * 3)
and solve for C
Sweetspot and the Pure Ball Striker