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The perimeter of a triangle is 42 feet. One side of the triangle is one foot longer than the second side. The third side is five feet longer than the second side. Find the lengths of all three sides (in feet). (Enter your answers as a comma-separated list.)

User Ivan Voras
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1 Answer

4 votes

Answer:

12 ft, 13 ft , 17 ft

Explanation:

let x be the length of the second side , then

one side is x + 1

third side is x + 5

the perimeter P is the sum of the 3 sides, then

P = x + x + 1 + x + 5 ← collect like terms

P = 3x + 6

given P = 42 , then equating gives

3x + 6 = 42 ( subtract 6 from both sides )

3x = 36 ( divide both sides by 3 )

x = 12

x + 1 = 12 + 1 = 13

x + 5 = 12 + 5 = 17

the 3 sides are 12 ft, 13 ft , 17 ft

User Bigfish
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