Help! really need an answer! How do you find the side lengths of a triangle if...
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Help! really need an answer! How do you find the side lengths of a triangle if...

[From: ] [author: ] [Date: 12-03-28] [Hit: ]
.which means the ratio of the length of a side and the sine of the angle opposite it is the same for all the sides and angles in a triangle.So, say you had side length a = 10, and the angle opposite that side,You know angle B,......
You have all the angles and one side length, also its not a right triangle.

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Law of sines.

a/sin(a) = b/sin(b) = c/sin(c)

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The sine rule (sometimes called the law of sines), says:
a/Sin(A) = b/sin(B) = c/Sin(C).

..which means the ratio of the length of a side and the sine of the angle opposite it is the same for all the sides and angles in a triangle.

So, say you had side length a = 10, and the angle opposite that side, A is 30 degrees
10/sin(30) = b/Sin(B)
You know angle B, so side b is
b = 10/sin(30) * sin(B)
same for the other
c= 10/sin(30) * sin(C)
1
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