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A certain triangle has a perimeter of 3077 mi. The shortest side measures 71 mi less than the middle side, and longest side measures 376 mi more than the middle side.find length of three sides

Respuesta :

texaschic101
p = a + b + c
a = longest side
b = middle
c = shortest

p = 3077
c = b - 71
a = b + 376

 (b + 376) + b + (b - 71) = 3077
3b + 305 = 3077
3b = 3077 - 305
3b = 2772
b = 2772/3
b = 924 <== middle side is 924 miles

c = b - 71
c = 924 - 71
c = 853 <== shortest side is 853 miles

a = b + 376
a = 924 + 376
a = 1300....<== longest side is 1300 miles

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