# draw a triangle satisfying conditons

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• Sep 1st 2012, 08:38 AM
greg1987
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.
• Sep 1st 2012, 11:06 AM
HallsofIvy
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.

Quote:

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

Quote:

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.
• Sep 1st 2012, 01:23 PM
greg1987
Re: draw a triangle satisfying conditons
Sorry, I've already edited .now it's as it should been.