SOLUTION: Leg xy of the right triangle shown in the diagram below is twice as ling as leg yz. if the area of the triangle is 36 cm^2, what is the length, in cm, of leg xy

Algebra ->  Triangles -> SOLUTION: Leg xy of the right triangle shown in the diagram below is twice as ling as leg yz. if the area of the triangle is 36 cm^2, what is the length, in cm, of leg xy       Log On


   



Question 248305: Leg xy of the right triangle shown in the diagram below is twice as ling as leg yz. if the area of the triangle is 36 cm^2, what is the length, in cm, of leg xy
Answer by stanbon(75887) About Me  (Show Source):
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Leg xy of the right triangle shown in the diagram below is twice as long as leg yz. if the area of the triangle is 36 cm^2, what is the length, in cm, of leg xy
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Let yz = x
Then xy = 2x
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Area = (1/2)bh
36 = x(2x)
18 = x^2
x = 3sqrt(2)cm
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2x = 6sqrt(2)cm
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Cheers,
Stan H.