# Square between circles

Geometry Level 4

Given the circle with center at $$L$$, $$MRST$$ quadrilateral with vertices on the circle $$L$$, and a circle $$O$$ inscribed in the quadrilateral, such that

$\overline { RM } =17, \ \overline { MT } =19, \ \overline { TS } = 23$

What is the value of $$\overline{RT} \times \overline{MS}$$?

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