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Answered



A triangle has a perimeter of 77 centimeters and one side is 25 centimeters. The other

two sides have a ratio of 4:9. What is the length of the longest side of the triangle?

Answer :

SQDANCEFANIN

Answer:

  36 cm

Step-by-step explanation:

Let x represent the multiplier of the ratio units. Then the perimeter is the sum of the side lengths:

  77 = 25 + 4x +9x

  52 = 13x . . . . . . . . subtract 25

  x = 4 . . . . . . . . . divide by 13

  4x = 4(4) = 16 . . . . find the other side lengths

  9x = 9(4) = 36

The side lengths are 25 cm, 16 cm, 36 cm. The longest side is 36 cm.

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