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How do you solve triangle EFG given that f equals 15 g equals 18 and f equals 29?
Wiki User
∙ 13y ago
I assume you mean EFG are the interior angles you need to find and efg are the sides( must be sides as they do not add to 180). Use law of cosines. Need to change to your letters; twice. Then for third angle subtract from 180 degrees I assume you mean e = 29 ( you need to be more careful in mathematics ) DEGREE MODE!
f^2 = g^2 + e^2 - 2ge cos(F)
15^2 = 18^2 + 29^2 - 2(18)(29) cos(F)
225 = 1165 - 1044(cos F)
-940 = -1044(cos F)
0.90038 = cos F
arcos(0.90038) = F
F = 26 degrees
g^2 = e^2 + f^2 - 2ef cos(G)
18^2 = 29^2 + 15^2 - 2(29)(15) cos(G)
324 = 1066 - -870(cos G)
-742 = -870(cos G)
0.85287 = cos G
arcos(0.85287) = G
G = 31 degrees
Now just subtract these answers from 180 degrees for E
180 - 26 - 31
E = 123 degrees
F = 26 degrees
G = 31 degrees
Wiki User
∙ 13y ago
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