SOLUTION: A triangular lake-front lot has a perimeter of 1900 feet. One side is 200 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find t

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Question 503639: A triangular lake-front lot has a perimeter of 1900 feet. One side is 200 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
P = perimeter = sum of the sides
a = shortest side
b = a+200
c = a+500
.
a+b+c = 1900
.
substitute
.
a +a+200 +a+500 = 1900
3a +700 = 1900
3a = 1200
a = 400
.
b = 400+200
b = 600
.
c = 400+500
c = 900
.
The three sides of the traingle are:
400 ft
600 ft
900 ft
.
Done.