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# three angles known of triangle and 1 length known how do I find the other lengths of the triangle

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three angles known of triangle and 1 length known how do I find the other lengths of the triangle

Guest Jun 6, 2017
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#1
+5215
+1

Let's say we know angle A, B, C and we also know side a

First, try doing tanA= a/b

Find side b

Then do sinB=b/c

Find side c.

All info is now known.

rarinstraw1195  Jun 6, 2017
#2
+5576
+2

Rarinstraw's answer is correct if the triangle is a right triangle with C as the 90º angle, but if the triangle is not a right triangle, you can use the Law of Sines to find other two lengths.

The Law of Sines says:

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$$

where  ,  ,  and   are angles, and  ,  , and  , are sides across from their respective angles.

This might help: https://www.mathsisfun.com/algebra/trig-sine-law.html

hectictar  Jun 6, 2017

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