Question 539715
xy/2= 600m2
xy=1200
x=1200/y
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1200/y +y+z= 120
1200+y^2+yz=120y
y^2-120y+1200=-yz
multiply by 2
2y^2-240y+2400=-2yz
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x+ y + 2z = $170
1200/y +y+2z=170
1200+y^2+2yz=170y

y^2-170y+1200=-2yz
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Equate -2yz

y^2-170y+1200=2y^2-240y+2400
y^2-70y+1200=0
y^2-40y-30+1200=0
(y-40)(y-30)=0
y= 40 OR 30

The sides of triangle are 40,30,50

50 is the hypotenuse

Area = 1/2 * 30*40= 600 (check)
Now you know how to answer the questions

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