SOLUTION: one side of a triangle is half the longest side. the 3rd side is 10 methers less than the longest side. the perimater is 53. find all sides. thank you
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Question 271066: one side of a triangle is half the longest side. the 3rd side is 10 methers less than the longest side. the perimater is 53. find all sides. thank you Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! x = longest side of triangle
y = 1/2x :: y is half the longest side
z = x - 10 :: z is 10 less than the longest side
x + y + z = 53
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substituting
x + 1/2x + x-10 = 53
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multiply everything by 2
2x + x +2x -20 = 106
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collect and simplify
5x = 126
x = 126/5 = 25.2
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y = 1/2x = 25.2/2 = 12.6
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z = x-10 = 15.2
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checking, does x+y+z = 53?
25.2 + 12.6 + 15.2 = 53
Yes!
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Answer:
x = 25.2
y = 12.6
z = 15.2
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