Question

Two vertices of a triangle are (33, 26) and (-2, 5). If the orthocenter is (1, 2) then the circumcentre of the triangle is ___

• A. $(4,-3)$
• B. $(\frac{35}{3},\frac{28}{3})$
• C. $(17,13)$
• D. $(1,2)$

Answer 1

The correct option is C $(17,13)$

Triangle ABC, A (33, 26), B (-2, 5) and H (1, 2)
C is orthocentre of triangle AHB
Which gives C(4, -3)
Centroid of ABC $(\frac{35}{3},\frac{28}{3})$
Using 3G = H + 2S gives S(17,13)