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

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?

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.

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.