Answer:
Therefore the value of x is 3.5 unit.
Step-by-step 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 [tex]\dfrac{AC}{BC} =\dfrac{AD}{DB}[/tex] ....Angle Bisector Theorem
Substituting the values we get
[tex]\dfrac{5}{6} =\dfrac{x}{4.2}\\\\x=\dfrac{21}{6}=3.5\\\\\therefore x=3.5\ unit[/tex]
Therefore the value of x is 3.5 unit.
