SOLUTION: the measure of the legs of a right triangle are in the ratios 3:4. If the area of the triangle is 54, what are the lengths of the three sides of the triangle?

Algebra ->  Triangles -> SOLUTION: the measure of the legs of a right triangle are in the ratios 3:4. If the area of the triangle is 54, what are the lengths of the three sides of the triangle?      Log On


   

Question 823270: the measure of the legs of a right triangle are in the ratios 3:4. If the area of the triangle is 54, what are the lengths of the three sides of the triangle?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x/y = 3/4
xy/2 = 54
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x = (3/4)y
xy = 108
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xy = 108
(3/4)yy = 108
yy = 108(4/3)
y = 12
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x = 9
y = 12
h = sqrt( xx + yy )
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answer:
x = 9
y = 12
h = 15
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