The perimeter of a triangle is 117 cm. The lengths of the three sides are represented by three consecutive odd integers. Find the length of the longest side.
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Answered by
9
Answer:
Let the three consecutive odd integers be
- 2x + 1
- 2x + 3
- 2x + 5.
=> Perimeter = sum of all sides
=> 117 = 2x + 1 + 2x + 3 + 2x + 5.
=> 117 = 6x + 9
=> 108 = 6x
=> x = 108/6
=> x = 18
Sides=>
- 2x + 1 => 2(18) + 1 => 36 + 1 => 37cm
- 2x + 3 => 2(18) + 3 => 36 + 3 => 39cm
- 2x + 5 => 2(18) + 5 => 36 + 5 => 41cm
LENGTH OF LONGEST SIDE = 41 cm
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Answered by
0
Answer:
37 39 41
Step-by-step explanation:
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