Answer:
12.12cm
Step-by-step explanation:
Distance from the center of the circle (d) = 14cm
Radius of the circle (r) = 7cm
Length of the tangent (l) = ?
Formula: [tex]d^{2} =r^{2} +l^{2}[/tex]
Substitute: [tex]14^{2} =7^{2} +l^{2}[/tex]
Simplify:
[tex]196 =49+l^{2}[/tex]
Transpose:
[tex]196 - 49 = l^{2}[/tex]
[tex]147 = l^{2}[/tex]
Get the square root of both sides:
[tex]\sqrt{147} = \sqrt{l^{2} }[/tex]
[tex]l = \sqrt{147}[/tex]
Square root of 147 or 12.12cm.
