Answer :

Let ΔABC be isosceles where BC is the base of fixed length b.

Let the length of the two equal sides of ΔABC be a.


Now, draw a perpendicular AD to BC. Then, we have


In ΔADC, by using Pythagoras theorem,


AD =


Then, Area of triangle (A) =


The rate of change of the area with respect to time (t) is given by:



It is given that the two equal sides of the triangle are decreasing at the rate of 3cm per second.



Then


And when a = b we have,



Therefore, if the two sides are equal to the base, then the area of the triangle is decreasing at the rate of cm2/s.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Show that the altMathematics - Board Papers

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1

Find the intervalRD Sharma - Volume 1