Q. 1 A4.9( 7 Votes )

Prove that for equilateral triangles, area is proportional to the square of the length of a side. What is the constant of proportionality?

Answer :

We know that area of equilateral triangle is given by a


Where s is the length of side.


Put s2 = q


Then


Here, is constant


When ‘q’ increases ‘a’ increases


When ‘q’ decreases ‘a’ decreases


So, ‘a’ is proportional to q. That means, ‘a’ is proportional to the square of the side


The constant of proportionality is .


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
view all courses