Triangle and Squares Theorems 12: College Geometry, SAT Prep, Math tutoring

Triangle and Squares 12. Level: High School, SAT Prep, College geometry

Squares ABDE and BCFG are constructed internally on the sides AB and BC of a triangle ABC, P is the midpoint of DG. Prove the following:

1. BP and AC are perpendicular.
2. BP = AC/2.