# draw a triangle satisfying conditons

• September 1st 2012, 08:38 AM
greg1987
draw a triangle satisfying conditons
$ABC$ is a triangle and $R,P,Q$ are points lying respectively on $AB, BC$, and $CA$ and satisfying $AR=RP=CP$ and $RB=QR=CQ.$ Draw this triangle and mark $R,P,Q$.
I've tried but I only drawn a case when all sides are equal.
• September 1st 2012, 11:06 AM
HallsofIvy
Re: draw a triangle satisfying conditons
I
Quote:

Originally Posted by greg1987
$ABC$ is a triangle and

I presume that "P, Q, and R" were supposed to be here.

Quote:

are points lying respectively on $AB, BC$, and $CA$ and satisfying $AR=RP=CP$ and $RB=QR=CQ.$
Respectively?

Quote:

Draw this triangle and mark $R,P,Q$.
I've tried but I only drawn a case when all sides are equal.
Assuming what I have said, the fact that "RP= CP" is a stringent requirement.
• September 1st 2012, 01:23 PM
greg1987
Re: draw a triangle satisfying conditons
Sorry, I've already edited .now it's as it should been.