Solve the triangle: B=77, a=18, b=8
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Solve the triangle: B=77, a=18, b=8

[From: ] [author: ] [Date: 12-04-16] [Hit: ]
c is the easiest to find,then to find the sides,we know both B and b, so that is easy to keep the same. plug in the known a and c,A = 77 / sin(8) * sin(18) = 170.......
I have tried to answer this so many times, plus my friend who's basically a math genius said that it is impossible. But it's on my math homework and I need to hand it in tomorrow. If someone can help me, I'd be so grateful! Thank you!

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sin A/ 18 = sin 77 / 8

sin A = 18 sin 77 / 8 = 9 sin 77 / 4

A = sin^-1 [ 9 sin 77 / 4}
= sin^-1 (2.19)
It has no answer because the value of sin^-1 must be in the interval [-1,1]

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A = 170.97
C = 242.54
c = 154

c is the easiest to find, just subtract the other angles from 180 to obtain it:

180 - 18 - 8 = 154

then to find the sides, use the law of sines:

A / sin(a) = B / sin(b) = C / sin(c)

we know both B and b, so that is easy to keep the same. plug in the known a and c, and solve for A and C by multiplying sin(a) and sin(c) respectively to B / sin(b)

A = 77 / sin(8) * sin(18) = 170.97
C = 77 / sin(8) * sin(154) = 242.54

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It is impossible. The side b is too short. Just answer it "undefinite."
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