The circumcentre of a triangle is where ____ drawn from the midpoints of its sides meet (14)

I believe the answer is:

perpendiculars

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'triangle is where drawn from the midpoints of its sides meet' is the definition.
I can't tell whether this definition defines the answer.

'the circumcentre of a' is the wordplay.
I cannot quite understand how this works, but
'a' could be 'per' (eg 'one a day' means 'one per day') and 'per' is located in the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

I've seen this clue in The Times.

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