• No products in the cart.

Profile Photo

Crease of a square paper

A square sheet of paper ABCD is so folded that B falls on the mid-point of M of CD. Prove that the crease will divide BC in the ratio 5:3.


creaseAssuming the side of the square is ‘s’. Let a part of the crease be ‘x’ (hence the remaining part is ‘s-x’). We apply Pythagoras Theorem we solve for x:

\(x^2 + \frac {s^2 }{4} = (s-x)^2 \) implies \(x = \frac {3s}{8} \) and \(s-x = \frac {5s}{8} \)

Hence the ratio is 5:3.

September 30, 2013

1 comment

Leave a Reply

Your email address will not be published. Required fields are marked *

© Cheenta 2017



FACEBOOKGOOGLE Create an Account
Create an Account Back to login/register