14. Find the coordinates of the circumcenter for ∆DEF with coordinates D (1,3) E (8,3) and F (1,-5). Show your work.

Question

Mathematics

Phoebe Hensley

22 October, 19:07

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D (1,3) E (8,3) and F (1,-5). Show your work.

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Giuliana Santiago · Answer 1

The circumcenter has equal distance to each of the three vertices. Suppose the coordinates of the circumcenter O are (a, b). Then OD=/sqrt ((a-1) ^2 + (b-3) ^2), OE=/sqrt (a-8) ^2 + (b-3) ^2), OF=/sqrt ((a-1) ^2 + (b+5) ^2). Let OD=OE=OF, solve the equation. x=9/2, y=-1. O (9/2, - 1).