ANSWER
ai) AC and AD
aii) CE and DE
b) 4√10cm
EXPLANATION
ai)
The center of the circle is A.
The radius is the distance from the center to any point on the circumference.
The radii are AC and AD.
aii) The tangent to a circle touches the circle at only one point.
The tangents to the circle are DE and CE.
c) The radius is perpendicular to the tangents.
This means that
Triangle ADE is a right triangle.
[tex]|DE|^2+|AD|^2=|AE|^2[/tex]
If AC is 6cm then AD is also 6cm.
We substitute the values to obtain,
[tex]|DE|^2+6^2=14^2[/tex]
[tex]|DE|^2=196 - 36[/tex]
[tex]|DE|^2=160[/tex]
[tex]|DE|= \sqrt{160} [/tex]
[tex]|DE|^2=4 \sqrt{10} cm[/tex]
