The lengths of a triangle are consecutive odd numbers The perimeter is 87 cm what is the length of the longest side

Question

Mathematics

Rory Murphy

25 March, 15:53

The lengths of a triangle are consecutive odd numbers The perimeter is 87 cm what is the length of the longest side

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Answers (2)

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Cedric Olson · Answer 1

3 consecutive odd numbers ... x, x + 2, x + 4

P = a + b + c

87 = x + x + 2 + x + 4

87 = 3x + 6

87 - 6 = 3x

81 = 3x

27 = x

x + 2 = 27 + 2 = 29

x + 4 = 27 + 4 = 31

ur 3 sides are 27,29,31 ... with 31 being the longest

Jaime Ross · Answer 2

X + (x+2) + (x+4) = 87

3x = 81 - > x = 27

So the longest will be 27 + 4 = 31