How to prove two triangles are congruent in a circle?
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First, note that the side ST is common to both triangles so you have a side in common.
Next, consider what you know about the lengths of SM and SO. What about the lengths of MT and TO? They both are the radius of the circles. Then you could use the Side-Side-Side to show congruence. Perhaps there is another way to use the angles here for an alternative but this seems rather straightforward if S and T are the center of each circle.
Next, consider what you know about the lengths of SM and SO. What about the lengths of MT and TO? They both are the radius of the circles. Then you could use the Side-Side-Side to show congruence. Perhaps there is another way to use the angles here for an alternative but this seems rather straightforward if S and T are the center of each circle.
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