SOLUTION: Two sides of a triangle measure 15 centimeters and 12 centimeters. The included angle measures 64 degrees. To the nearest tenth what is the length of the third side?
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Question 881795: Two sides of a triangle measure 15 centimeters and 12 centimeters. The included angle measures 64 degrees. To the nearest tenth what is the length of the third side?
I know it has something to do with trigonometry. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Two sides of a triangle measure 15 centimeters and 12 centimeters. The included angle measures 64 degrees. To the nearest tenth what is the length of the third side?
I know it has something to do with trigonometry.
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Use law of cosines to solve: c^2=a^2+b^2-2abcosx, a and b are adjacent sides to the included angle x, c=side opposite the included angle.
..
for given problem:
a=15
b=12
x=64˚
..
c^2=15^2+12^2-2*15*12cos64˚
c^2=225+144-360*cos64˚
c^2=369-157.81
c^2=211.19
c=14.53
length of the third side? 14.53 cm
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