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solving oblique triangles

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solve the oblique triangle angle A=10 angle= B=10 angle C=? side A =? side b=? side c=10

asked Nov 22, 2013 in TRIGONOMETRY by skylar Apprentice
reshown Nov 22, 2013 by goushi

1 Answer

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Given Angles A = 10, B = 10 and side c = 10

Now we solve remaining sides and angle of given triangle.

C = 180-(A+B)

C = 180-(10+10)

C = 160

Use the law of Sines

a/SinA = c/SinC

a/Sin10 = 10/Sin160

a/0.173 = 10/0.3420

a/0.173 = 29.23

a = 29.23*0.173

a = 5.058

Similarly b/SinB = c/SinC

b/Sin10 = c/Sin160

b/0.173 = 10/0.3420

b = 29.23

b = 29.23*0.173

b = 5.058

C = 160, b = 5.058, c = 5.058

answered Jan 25, 2014 by friend Mentor

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