A triangularshaped lake-front lot has a perimeter of 1400 feet. One side is 200 feet longer than the shortest side,

Question

while the third side is 300 feet longer than the shortest side. Find the lengths of all 3 sides.

Answer 1

The perimeter of a triangle is the sum of the sides.

 

S₁ = shortest side

S₂ = S₁ + 200

S3 = S₁ + 300

 

P = S₁ + S₂ + S₃

1400 = S₁ + (S₁ + 200) + (S₁ + 300)

1400 = 3S₁ + 500

900 = 3S₁

300 = S₁

 

S₁ = 300

S₂ = 500

S₃ = 600