In a triangle ABC, the angle bisector of angle A divides side BC at point D. If AB=8 cm, AC=12 cm, and BC=15 cm, what is the length of segment BD?
Show answer & explanation
Correct answer: D
Explanation
Given:
AB = 8
AC = 12
BC = 15
By the formula:
Angle Bisector Theorem
BD / DC = AB / AC
BD / DC = 8 / 12 = 2 / 3
BC = BD + DC = 15
Ratio = 2 : 3
BD = (2 / (2 + 3)) × 15 = 6