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Maurinko [17]
3 years ago
11

The perimeter of a triangle is 53 in. The shortest side is 10 in. less than the longest side. The middle side is 19 in. less tha

n the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

9514 1404 393

Answer:

  • shortest: 13 in
  • middle: 17 in
  • longest: 23 in

Step-by-step explanation:

Let s represent the shortest side. Then the longest side is (s+10) and the middle side is (s+(s+10)-19). The perimeter is the sum of the sides.

  s + (2s-9) +(s+10) = 53

  4s +1 = 53

  s = (53 -1)/4 = 13

The side lengths are ...

  • shortest: 13 in
  • middle: 17 in
  • longest: 23 in
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