Answered

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.

Verified Answer :

wolf1728

Using the Law of Cosines
cos (A) = b^2 + c^2 -a^2 / 2bc

cos (A) = (23.823.8 + 36.936.9 - 14.914.9) / (223.836.9)
cos (A) =



0.9713055954




Angle = 13.759 Degrees

cos (A) = (36.936.9 + 14.914.9  -23.823.8 ) / (236.923.8)
cos (A) =

0.9250286463




Angle = 22.327 Degrees

cos (A) = (14.914.9  + 23.823.8 -36.936.9) / (214.9*23.8)
cos (A) =



-0.808132649

Angle = 143.91 Degrees




So, the smallest angle is 13.759 Degrees


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