The Altitude of a triangle is increasing at a rate of 8cm/s while its area is increasing at the rate of 12cm^2/s. At what rate is the base of the triangle changing when the altitude is 20 cm and the area is 100 cm^2 ?
Given;
with a=altitude, A=area, t=time
The question requires us to find when a=20cm and A=100cm2.
Using the formula for area, we can tell that b=10cm.
Substituting ;
The base is changing at a rate of -2.8cm/min
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