In an equilateral triangle RST, points K, L, M are located on the sides such that RK=SL=TM.
Prove that triangle KLM is equilateral.
I have been trying to conduct this proof, but I can't seem to figure out how to show that KLM is equilateral. So far I understand that since triangle RST is equilateral, RK=SL=TM and SK=LT=MR. I have been trying to figure out how to use ASA or SAS congruence to prove the statement. Any help would be greatly appreciated.