draw a triangle satisfying conditons

$\displaystyle ABC$ is a triangle and$\displaystyle R,P,Q$ are points lying respectively on $\displaystyle AB, BC$, and $\displaystyle CA$ and satisfying $\displaystyle AR=RP=CP$ and $\displaystyle RB=QR=CQ.$ Draw this triangle and mark$\displaystyle R,P,Q$.

I've tried but I only drawn a case when all sides are equal.

Re: draw a triangle satisfying conditons

I Quote:

Originally Posted by

**greg1987** $\displaystyle ABC$ is a triangle and

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

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

Respectively?

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Draw this triangle and mark$\displaystyle R,P,Q$.

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.

Re: draw a triangle satisfying conditons

Sorry, I've already edited .now it's as it should been.