Find Instances When Sum Of Three Claims Types Greater Than Predetermined Threshold

I have a table that is made up of the sum of medical, mental health and pharmacy claims. I would like to query that to find instances when the sum of the three claims types are greater than a predetermined threshold.

For example:
Patient 1 Medical = 10,000 (could be 10 records at 1,000 each)
Patient 1 Mental Health = 5,000
Patient 1 Pharmacy = 15,000
Patient 2 Medical = 1,000
Patient 2 Mental Health = 0
Patient 2 Pharmacy = 500

Threshold is 25,000

If I queried the above sample table I would get one record:
Patient 1 30,000 - because 10,000+5,000+15,000 = 30,000 and is greater than the threshold.

I am not sure that a having clause would work though.