SOLUTION: The area of right angled triangle is 165 meter square. Determine its base and altitude if the Latter exceeds the former by 7 meter.

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Question 825779: The area of right angled triangle is 165 meter square. Determine its base and altitude if the Latter exceeds the former by 7 meter.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x = base
y = altitude
xy%281%2F2%29=165
If y=x%2B7%7D%2C+then+%7B%7B%7Bx%28x%2B7%29%281%2F2%29=165;
x%5E2%2B7x=165%2A2
x%5E2%2B7x-330=0 ------ Is this factorable?

330=3*2*5*11

Look at discriminant: 7%2A7-4%2A%28-330%29=49%2B1320;
sqrt%281320%29=sqrt%284%2A330%29=2%2Asqrt%28330%29. The quadratic member is not factorable.

base:highlight%28x=%28-7%2B2%2Asqrt%28330%29%29%2F2%29 OR highlight%28x=-7%2F2%2Bsqrt%28330%29%29;
'
altitude: y=%28-7%2B2%2Asqrt%28330%29%29%2F2%29%2B7
-7%2F2%2Bsqrt%28330%29%2B14%2F2
highlight%287%2F2%2Bsqrt%28330%29%29