Track / Stage 4 / 41 of 340 #301 of 2000

Problem 301

AMC 12 late, AIME early

Geometry Difficulty 4.5 Find the answer

Six. (15 points) Given points $D$ , $E$ , and $F$ are on the sides $BC$ , $CA$ , and $AB$ of $\triangle ABC$ respectively, $G$ is the intersection of $BE$ and $CF$ , and $BD=DC=CA=AF$ , $AE=$ $EC=BF$ . Then, the value of $\frac{DG}{BC}$ is $\qquad$

Your answer

Official solution

Six、 $\frac{1}{8}$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.