SOLUTION: In a triangle three sides measure: 12, 18 and 24. What is the measure of the smallest angle, to the nearest degree? Choices are: a) 29 b) 47 c) 76 and d) 22. I know I need
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Question 436501: In a triangle three sides measure: 12, 18 and 24. What is the measure of the smallest angle, to the nearest degree? Choices are: a) 29 b) 47 c) 76 and d) 22. I know I need to use a formula to solve it but not sure how to go about that?
Found 2 solutions by shree840, Alan3354:
Answer by shree840(260) (Show Source): You can put this solution on YOUR website!
let x be the smallest angle
next is 1.5 x (since sides areproportional to the angles
next is 2x
total is 4.5x=180
x=180/4.5=40
next is 1.5x= 60
next is 2x=80 ans
your answers are wrong
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
In a triangle three sides measure: 12, 18 and 24. What is the measure of the smallest angle, to the nearest degree? Choices are: a) 29 b) 47 c) 76 and d) 22. I know I need to use a formula to solve it but not sure how to go about that?
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The smallest angle is opposite the shortest side, so the sides adjacent to the angle are 18 and 24.
Use the Law of Cosines
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cos(A) = 756/864 =~ 0.88541667
angle A =~ 27.7 degs
Closest to a) 29, but doesn't match any
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