Find distance between a point on one side of a square, and a corner of the square.

Printable View

• Jul 2nd 2011, 07:40 PM
pikachu26134
Find distance between a point on one side of a square, and a corner of the square.
Hello, just another problem my tutuor set me.

A square ABCD
with sides of length 1 be given. A point Xon BC is at distance d

from
C, and a point Y on CD is at distance d from C. The extensions of: AB and DX

meet at
P, AD and BY meet at Q, AX and DC meet at R, and AY and BC meet at

S. If points P, Q, R and S are collinear, figure out the value 'd'.

Cheers
• Jul 2nd 2011, 07:46 PM
TKHunny
Re: Find distance between a point on one side of a square, and a corner of the square
What section are you in? What tools does your tutor expect you to utilize? What's your plan for a solution?
• Jul 2nd 2011, 07:59 PM
pikachu26134
Re: Find distance between a point on one side of a square, and a corner of the square
I was going to work backwards with pythagoras on all the intersection points. First of all is 'd' equal on both AB and DC and where exactly must i start because im a little confused where to begin. A starter would b great.
• Jul 2nd 2011, 08:03 PM
TKHunny
Re: Find distance between a point on one side of a square, and a corner of the square
You must wade through the construction very carefully. Do you know that "a square ABCD" means the points are lebeled in this order, usually in a clockwise direction? Draw such a square and then tackle the next piece. It may take a few revisions.