Answer:
BD is 3.75 units
Step-by-step explanation:
Given:
BA = 6 units
CA = 8 units
DC = 5 units
To Find:
BD = ?
Solution:
Triangle Angle Bisector Theorem.
An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
I.e Here in Δ BAC,
AD is the Bisector of ∠ A
∴ [tex]\frac{BA}{CA}= \frac{BD}{DC}[/tex]
Substituting th above given values in it we get
∴ [tex]\frac{6}{8}= \frac{BD}{5}[/tex]
∴ [tex]BD = 5\times \frac{6}{8} \\\\BD = \frac{30}{8} \\\\BD = 3.75\ units\\[/tex]
Therefore BD is 3.75 units
