Question

Need help finding answer

Answer 1

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

∴ $\frac{BA}{CA}= \frac{BD}{DC}$

Substituting th above given values in it we get

∴ $\frac{6}{8}= \frac{BD}{5}$

∴ $BD = 5\times \frac{6}{8} \\\\BD = \frac{30}{8} \\\\BD = 3.75\ units$

Therefore BD is 3.75 units