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April 22nd, 2011, 12:32 PM   #1
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Change of triangle height

Height if triangle is 32 while width is 24.
The area doesn't change but the height is changing 3 meters per sec.
Find out how fast does width change.
I tried to do it but still don't understand the unit/time concept.
Also I don't understand what is
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April 22nd, 2011, 12:43 PM   #2
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Re: Change of triangle height

We have:



Differentiating with respect to time, noting A is a constant, we have:







We see that the base b (width) changes in the opposite direction of the height. With the values given, we find:

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