SOLUTION: can someone help me out my teacher said this and i dont understand it Now, here is one issue and it is that you found the height to be 6 or -16. What happened to the -16? Also, r

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Question 302057: can someone help me out my teacher said this and i dont understand it Now, here is one issue and it is that you found the height to be 6 or -16. What happened to the -16? Also, remember to include your state step (right after the check step) and it is a complete sentence. this is my problem please look over it and see where i am missing somehting and can you please explain this state step to me i dont know what it is
Dimensions of a triangle. A triangle is 10 cm wider
than it is tall. The area 48 cm^2 is Find the height and
the base.
h=height
h+10=b
A=(1/2)bh
48=(1/2)(h+10)(h)
48=(1/2)(h^2+10h)
48=(1/2)h^2+5h
0=(1/2)h^2+5h-48
[-b+-sqrt(b^2-4ac)]/2a
[-5+-sqrt(25-4(1/2)(-48)]/2(1/2)
-5+-sqrt121/1
-5+11 -5-11
6 -16
so height is 6
base is 16
check (1/2) (16) (6)=48
8(6)=48
48=48 true

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
Your teacher is right to ask what happened to the -16.
My question is how did you get 16 for the base?
It is correct as your check shows but how did you get it?
-5+11 -5-11
6 -16
so height is 6
base is 16

We discard the -16 for two reasons.
It will not work in the equation and we cannot have negative measurements.
You should have gotten the 16 for the base from
48=1/2*b*6
48=3b
16=b
So now you make your statement.
The height is 6 cm. and the base is 16 cm.
(You never said 6 or 16 what)
Then you make your check