In a right triangle, CT = 6, CA = 3, and m<CAT = 90. What is the value of cot C ?

Question

CT= hypo
CA= Opp.

Answer 1

AT = √(36-9) = 3√3

cotC = adj/opp = CA/AT = 3/3√3 = 1/√3

you will note that for the side opposite to angle C, point C cannot be one of the endpoints.