SOLUTION: A triangular support beam of the roof of a large warehouse has a perimeter of 72 meters. The first side is one-third of the second side. The third side is 19 meters shorter than th

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Question 1055948: A triangular support beam of the roof of a large warehouse has a perimeter of 72 meters. The first side is one-third of the second side. The third side is 19 meters shorter than the second side. What are the lengths of the three sides of the triangular support beam?
Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website!
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A triangular support beam of the roof of a large warehouse has a perimeter of 72 meters. The first side is one-third of the second side.
The third side is 19 meters shorter than the second side. What are the lengths of the three sides of the triangular support beam?
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Let x be length of the first side. Then the length of the second size is 3x, and the length of the third side is 3x - 19. The equation for the perimeter is x + 3x + (3x-19) = 72. 7x = 72 + 19 = 91. x = = 13. From this point you can complete the solution on your own.