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 March 19th, 2018, 10:58 AM #1 Newbie   Joined: Jan 2018 From: Ontario Posts: 11 Thanks: 0 Can you find side length of a triangle given three angles? Can you mix dimensionless function or angles to find length in triangles? For example, two sides are composed of a distance of $0.85+0.4=1.25$ and at the same time $0.4=\cos\theta$and the base is $1$? For consecutive numbers or non-consecutive numbers $x March 19th, 2018, 03:22 PM #2 Global Moderator Joined: Dec 2006 Posts: 20,269 Thanks: 1958 Quote:  Originally Posted by Larrousse$\frac{\sin A}{\sin C}=a\frac{\sin B}{\sin C}=b\frac{\sin C}{\sin C}=c$If you are given the values of the angles A, B and C, the above equations give you the values of a, b and c in terms of the angles. If you aren't given the values of the angles A, B and C, the three equations just tell you that c = 1. Quote:  Originally Posted by Larrousse$\frac{h_c}{h_a}=a\frac{h_c}{h_b}=b\frac{h_c}{h_c}=c$The above three altitude quotient equations just tell you that c = 1.  March 19th, 2018, 04:00 PM #3 Newbie Joined: Jan 2018 From: Seattle, WA Posts: 20 Thanks: 6 Angles are insufficient to determine the size of a triangle. Thanks from v8archie March 19th, 2018, 04:36 PM #4 Newbie Joined: Jan 2018 From: Ontario Posts: 11 Thanks: 0 An angle has no measurement of units, and for that reason, it is difficult to describe the length of the side of the triangle or the unit doesn't matter. Attached Images  20180204_132123.jpg (80.4 KB, 5 views) Last edited by skipjack; March 19th, 2018 at 05:07 PM.  April 22nd, 2018, 06:11 PM #5 Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 896 For example, every equilateral triangle, whether its sides have length 1 cm or 1000 km, has its three angles the same with measure$\displaystyle \frac{\pi}{3}\$.

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