If XY=24, XZ=22, and JQ=5, find the radius of the circumscribed circle of triangle XYZ.

Radius of the circumscribed circle of triangle XYZ = 12.08
XY = 24
XZ = 22
JQ =5
From the diagram we are given, we can see that; XJ = JY
Thus; XJ = JY = XY/2
XJ = JY = 22/2 = 11
Since we know JQ and XJ, let us consider triangle XJQ.
Using Pythagoras theorem;
(XQ)² = (XJ)² + (JQ)²
(XQ)² = 11² + 5²
(XQ)² = 146
XQ = √146
XQ = 12.08
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