Answer:
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
∴ [tex]LC =\frac{10}{2} \\\\LC = 5\ units\\[/tex]
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.
