Question
Asked Nov 21, 2019
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Solve the triangle. (Round your answers to one decimal place.)
4.51 ft, b = 3.21 ft, c = 5.86 ft
a
A =
B =
O
C =
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Solve the triangle. (Round your answers to one decimal place.) 4.51 ft, b = 3.21 ft, c = 5.86 ft a A = B = O C =

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Expert Answer

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Step 1

Given,

3.21 ft and c 5.86 ft
a 4.51 ft,b
Now, applying laws of Cosines, we get
b2+c2-a2
cos A
2bc
3.212+5.862-4.512
cos A
2(3.21)(5.86)
cos A 0.646
A cos (0.646)
A = cos(0.646)
A = 49.75° 49.8°
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3.21 ft and c 5.86 ft a 4.51 ft,b Now, applying laws of Cosines, we get b2+c2-a2 cos A 2bc 3.212+5.862-4.512 cos A 2(3.21)(5.86) cos A 0.646 A cos (0.646) A = cos(0.646) A = 49.75° 49.8°

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Step 2

Again, applying laws of...

a2+c2-b2
cos B
2ас
4.512+5.862-3.2 12
Cos B
2(4.51)(5.86)
= 0.8395
COs B
= cos(0.8395)
B
B cos(0.8395)
B 32.90° 32.9°
Now, by angle sum property of a triangle, we have
ABC 180°
49.8°32.9° C = 180°
C 97.3°
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a2+c2-b2 cos B 2ас 4.512+5.862-3.2 12 Cos B 2(4.51)(5.86) = 0.8395 COs B = cos(0.8395) B B cos(0.8395) B 32.90° 32.9° Now, by angle sum property of a triangle, we have ABC 180° 49.8°32.9° C = 180° C 97.3°

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Trigonometry