Question

PLEASE HELP ME ANSWER THIS QUESTION...

Answer 1

Therefore the value of x is 3.5 unit.

Explanation:

Given:

AC = 5

BC = 6

DB = 4.2

∠ACD = ∠BCD

To Find:

AD = x = ?

Solution:

∠ACD = ∠BCD ........Given

i.e CD is the angle Bisector of ∠ ACB

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
`(AC)/(BC) =(AD)/(DB)` ....Angle Bisector Theorem

Substituting the values we get

`(5)/(6) =(x)/(4.2)\\\\x=(21)/(6)=3.5\\\\\therefore x=3.5\ unit`

Therefore the value of x is 3.5 unit.