Question

given that point g is the circumcenter of △abc, what is the length of fc? 6 9.2 √85 7

Explanation:

Step1: Recall circum - center property

The circum - center of a triangle is equidistant from the vertices of the triangle and also, the perpendicular bisectors of the sides of the triangle meet at the circum - center. Since \(G\) is the circum - center and \(GF\perp BC\), \(F\) is the mid - point of \(BC\). Given \(BF = 7\), then \(FC=BF = 7\).

Answer:

D. 7