SOLUTION: The sum of the base and the height of a triangle is 18 cm. Find the dimensions for which the area is a maximum. The triangle with maximum area has a height of ___cm and a base of

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Question 1144509: The sum of the base and the height of a triangle is 18 cm. Find the dimensions for which the area is a maximum.
The triangle with maximum area has a height of ___cm and a base of
___ cm.

Found 3 solutions by Alan3354, ikleyn, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The triangle with maximum area has a height of ___cm and a base of
___ cm.
====================
There is no reason to type that.
What does that accomplish?
If I solve the problem, what use could I make of it?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

As you format your post, it says about you (or instead of you) the following.

    I (i.e. YOU) don't need a solution; I need the answer only.

    I don't want to learn; I don't want to apply any efforts from my side to learn or to make anything.

    The only thing that I want is that the tutors make my work instead of me.


But it is not our (the tutors') goal at this forum to work instead of you, or to replace / (to substitute you) and make your job.

Our goal is to teach.

No one tutor in healthy mind will work instead of you.

Can you make your conclusions (right conclusions) from what I wrote in my post ?


    HINT : the right conclusion is THIS : if you want to get help and learn, change the format of your posting/postings.



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, base
y, height
A, area

system%28A=%281%2F2%29xy%2Cx%2By=18%29
A=%281%2F2%29x%2818-x%29
The maximum occurs at the vertex, which is exactly in the middle of the two zeros of A.

%281%2F2%29x%2818-x%29=0
zerosat0and18;
A is maximum at x=9 and y=9.