In isosceles triangle \(ABC\), sides \(AB\) and \(AC\) are congruent.…

Question

Prompt

In isosceles triangle

A B C

, sides

A B

and

A C

are congruent. Point

D

divides side

B C

such that the length of

B D

\frac{2}{7}

of the length of

B C

. Point

E

lies on side

A B

and point

F

lies on side

A C

such that when segments

D E

and

D F

are drawn, angle

B E D

is congruent to angle

C F D

. If the length of

B E

14

, what is the length of

C F