Question

Segments DF, DH, and GF are tangent to the circle. Andrew was asked to find DF. Explain andrew's error.

Answer 1

DF = 14

Explanation:

Andrew was wrong in the assumption that DE = EF

Segments of tangents to a circle from the same external point are congruent

That is

EF = FG = 8

Then

DF = DE + EF = 6 + 8 = 14