Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I have a right trapezoid as follows;

enter image description here

We have $h$, $b$ and $a$. For any $n$, I need to divide total area of trapezoid into equal parts. I have to find a general formulation for the length of $p$ points for my study. Although I try to figure out from starting from $n=2$, $n=3$,... I couldn't able to generalize the formulation. Is there any general formulation for this?

share|improve this question
    
thanks for editing, I couldn't able to put images with my current reputation :) –  knightoi Dec 5 '11 at 23:51
    
Do you mean that you have a solution for $n=2$ and $n=3$ and just need to generalize it to arbitrary $n$? If so, please show your existing work. –  Henning Makholm Dec 6 '11 at 0:06

1 Answer 1

it does not seems ok as follows:- 1) if area of triangles be equal i.e x=x', similarly if areas of trapezoidal sections be equal i.e y=y', that means x+y=x'+y' i.e area of rectangles be equal which is not true as ht is same for all rectangles and width varies.

2) x2^2=2 x1^2

x3^2=3 x1^2

x4^2=4 x1^2 as x4^2=x3^2+x1^2

share|improve this answer
    
as x1^2=x2^2-x1^2=x3^2-x2^2=x4^2-x3^2=H^2-x4^2= area/5 in case of division in five equal segments of the triangle. but same thing doesnt applies directly to the trapezoidal shape. –  bishnoi Jul 23 at 10:31

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.