SOLUTION: The Ratio of the side lengths of a triangle is 4:7:9. The perimeter of the triangle is 120 feet. Find the side lengths. Then classify the triangle by its side lengths.

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 Click here to see ALL problems on Length-and-distance Question 604143: The Ratio of the side lengths of a triangle is 4:7:9. The perimeter of the triangle is 120 feet. Find the side lengths. Then classify the triangle by its side lengths.Answer by stanbon(57307)   (Show Source): You can put this solution on YOUR website!The Ratio of the side lengths of a triangle is 4:7:9. The perimeter of the triangle is 120 feet. Find the side lengths. Then classify the triangle by its side lengths. --- Equation: 4x + 7x + 9x = 120 20x = 120 x = 6 --- Lengths: 4*6 = 24 ; 7*6 = 42 ; 9*6 = 54 ----- Use the Law of Cosines to find angle sizes so you can classify the triangle. e.g. Cos(A) = [24^2+42^2-54^2]/(2*24*42) = -0.2857 A = cos^-1(-0.285) = 106 degrees etc. ------------------- Cheers, Stan H.