in the diagram shown, fj bisects ad bl~=lc. the length of cd is 2 more than the length of lc, and the length of ad is
24. what is the length of ac?

The Length of AC is  17 units.

Step-by-step explanation:

Given:

BL = LC

AD = 24

AL = LD

AL = LD = half of AD = half of 24 = 12.     { FJ bisect AD }

Also,

CD = 2 + LC

To Find:

AC = ?

Solution:

By Addition Property we have

LC + CD = LD  ............{ L - C - D }

LC + ( 2 + LC ) = 12 ..........{substituting the given values}

∴ 2(LC) = 12 -2

∴ 2 (LC) = 10

∴

Again,  By Addition Property we have

AC = AL +  LC      ................{ A - L - C }

AC =12 + 5

∴ AC = 17 units

∴ The Length of AC is  17 units.