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erik [133]
3 years ago
7

anonymous 4 years ago The sides of a triangle measure 14.9 centimeters, 23.8 centimeters, and 36.9 centimeters. Find the measure

of the angle with the least measure.
Mathematics
1 answer:
Crank3 years ago
3 0
Using the Law of Cosines
cos (A) = b^2 + c^2 -a^2 / 2bc

cos (A) = (23.8*23.8 + 36.9*36.9 - 14.9*14.9) / (2*23.8*36.9)
cos (A) = <span> <span> <span> 0.9713055954 </span> </span> </span>
Angle = 13.759 Degrees

cos (A) = (36.9*36.9 + 14.9*14.9  -23.8*23.8 ) / (2*36.9*23.8)
cos (A) = <span> <span><span>0.9250286463 </span> </span> </span>
Angle = 22.327 Degrees

cos (A) = (14.9*14.9  + 23.8*23.8 -36.9*36.9) / (2*14.9*23.8)
cos (A) = <span> <span> <span> -0.808132649
Angle = 143.91 Degrees
</span> </span> </span>
So, the smallest angle is 13.759 Degrees


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a) (11/7, 9/7)

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a) x - 2y + 1 = 0

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Now we substitute x in the second equation:

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Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

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We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

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