Proof in Geometry

[ruud]

here is a question that I need help with

1) In triangle KLM, P is the midpoint of the line segment LM. Prove that if PL = PK =PM, angle LKM = 90
L
|\
| \P
| \
|__ \
K M

If someone could set up the problem I'd be greatful

[NateTG]

Consider introducing a point O so that
KPO is a line segment with P at the midpoint, and then show that KLOM is a rectangle.

[ruud]

I think I got it now thanks for your help