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Omni-MATH / Let AMOL be a quadrilateral with AM=10,MO=11, and OL=12. Given that the perpendicular bisectors of sides AM and OL intersect at the midpoint of segment AO, find the length of side …

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problem

Let AMOLA M O L be a quadrilateral with AM=10,MO=11A M=10, M O=11, and OL=12O L=12. Given that the perpendicular bisectors of sides AMA M and OLO L intersect at the midpoint of segment AOA O, find the length of side LA.
Plain-text mathematical notation (without MathML)
Let AMOL be a quadrilateral with AM=10,MO=11, and OL=12. Given that the perpendicular bisectors of sides AM and OL intersect at the midpoint of segment AO, find the length of side LA.
Original LaTeX notation
Let $A M O L$ be a quadrilateral with $A M=10, M O=11$, and $O L=12$. Given that the perpendicular bisectors of sides $A M$ and $O L$ intersect at the midpoint of segment $A O$, find the length of side LA.

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