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pochemuha
4 years ago
10

Given oblique △ABC

Mathematics
1 answer:
Ganezh [65]4 years ago
7 0
Law of sines says: 
a / sin(A) = b / sin(B) = c / sin(C) 
where "a" is a leg of the triangle and "A" is its opposite angle. 
You are given an angle of 31 degrees with its opposite leg being a length of 17. 
You are then given an angle of 46 degrees and asked to find the length of its opposite side. 
So you can create the following equation: 
17 / sin(31) = a / sin(46) 
Using a calculator to get the value of the sins (I'll round them to 3 digits for now), we get: 
17 / 0.515 = a / 0.719 
Now solve for a 
17(0.719) = 0.515a 12.223 = 0.515a 12.223 / 0.515 = a a = 23.734 
So rounded to tenths of a unit, a = 23.7
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