Dividing a Triangle by Lines Parallel to Two Sides
Dividing a Triangle by Lines Parallel to Two Sides
Let ABC be a triangle and E a point on AC. Let D be on AB such that DE is parallel to BC and F be on BC such that EF is parallel to AB. Let , , and be the areas of ADE, EFC, and DEFB, respectively. Then =2×.
S
1
S
2
S
3
S
3
S
1
S
2