A triangular lake-front lot has a perimeter of 1200 feet. One side

1.	A triangular lake-front lot has a perimeter of 1200 feet. One side is 200 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.
Answer» Step-by-step explanation: let the SHORTEST SIDE be ' a ' so the lengths of the sides of the triangle are a, a +200, a+400 PERIMETER of the triangle is sum of all sides IMPLIES, a + a+ 200 +a + 400 = 1200 3a + 600 = 1200 a = 200 the sides of the triangle are 200, 400, 600

A triangular lake-front lot has a perimeter of 1200 feet. One side is 200 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

Answer»

Step-by-step explanation:

let the SHORTEST SIDE be ' a '

so the lengths of the sides of the triangle are

a, a +200, a+400

PERIMETER of the triangle is sum of all sides

IMPLIES,

a + a+ 200 +a + 400 = 1200

3a + 600 = 1200

a = 200

the sides of the triangle are 200, 400, 600

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A triangular​ lake-front lot has a perimeter of 1200 feet. One side is 200 feet longer than the shortest​ side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

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A triangular lake-front lot has a perimeter of 1200 feet. One side is 200 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.