Problem: A rhombus is inscribed in triangle ABC in such a way that one of its vertices is A and two of its sides lie along AB and AC. If AC=6 inches, AB=12 inches, and BC=8 inches, the side of the rhombus, in inches, is:
Answer Choices:
A. 2
B. 3
C. 321​
D. 4
E. 5
Solution:
Since △BDE∼ΔBAC,s/6=(12−s)/12,s=4