Answer:
BD is 3.75 units
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
∴

Substituting th above given values in it we get
∴

∴

Therefore BD is 3.75 units