Answer:
Length of [tex]\overline{AD}[/tex] is 11 unit.
Step-by-step explanation:
Given: AB = 7 unit , AC = 6 unit and AE = 13 unit
To find: length of [tex]\overline{AD}[/tex]
We use the Intersection secants theorem which states that If two secant segments are drawn to a circle from an exterior point, then the product of the one secant segment and its external secant segment is equal to the product of the other secant segment and its external secant segment.
According to this,
we have
AB × AD = AC × AE
7 × AD = 6 × 13
AD = [tex]\frac{78}{7}[/tex]
AD = 11.14 unit
AD = 11 unit ( approx. )
Therefore, Length of [tex]\overline{AD}[/tex] is 11 unit.
