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tia_tia [17]
2 years ago
9

the perimeter of a triangular plot of land is 2400 ft. the longest feet is 200 ft less than twice the shortest. the middle side

is 200 ft less than the longest side. find the lengths of the three sides of the triangular plot.
Mathematics
1 answer:
noname [10]2 years ago
3 0
P = a + b + c
p = 2400
a = longest = 2c - 200
b = middle = a - 200 = 2c - 200 - 200 = 2c - 400

2400 = (2c - 200) + (2c - 400) + c
2400 = 5c - 600
2400 + 600 = 5c
3000 = 5c
3000/5 = c
600 = c <== shortest side

a = 2c - 200.....= 2(600) - 200 = 1200 - 200 = 1000<== longest side
b = 2c - 400...= 2(600) - 400 = 1200 - 400 = 800 <== middle side
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