Angle bisector theorem
Plane geometry · Mathematics
Study notes
Q: △ABC: AB = 6, AC = 9, BC = 10. Internal bisector of A meets BC at D. Find BD, DC. BD/DC = AB/AC = 6/9 = 2/3. BD+DC = 10: BD = 10×2/5 = 4, DC = 10×3/5 = 6. Check: 4/6 = 2/3 ✓!
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Plane geometry · Mathematics
Q: △ABC: AB = 6, AC = 9, BC = 10. Internal bisector of A meets BC at D. Find BD, DC. BD/DC = AB/AC = 6/9 = 2/3. BD+DC = 10: BD = 10×2/5 = 4, DC = 10×3/5 = 6. Check: 4/6 = 2/3 ✓!