A triangle has a perimeter of 100 centimeters and one side is 35 centimeters. The other two sides have a ratio of 5:8. What is the length of the longest side of the triangle?

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asked Nov 19, 2018 127k views

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Tom Rutchik · Answer 1 · 2018-11-23T15:01:14+0000

side a = 35 cm
side b + c = 100 - 35 cm = 65 cm

b : c = 5 : 8 = 5x : 8x

b + c = 65
5x + 8x = 65
13x = 65
5 = x

b = 5x = 5 × 5 = 25 cm
c = 8x = 8 × 5 = 40 cm ---->longest side

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A triangle has a perimeter of 100 centimeters and one side is 35 centimeters. The other two sides have a ratio of 5:8. What is the length of the longest side of the triangle?

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