Segments Formed by a Tangent and a Secant
How to solve the segments formed by a tangent and a secant problems: formula, example, and its solution.
[blue]2 = [green]⋅[dark green]
[blue]: Segment from the tangent
[green]: Exterior segment from the secant
[dark green]: The secant including [green]
The tangent segment is x.
The secant segments are 4 and 5.
So x2 = 4(4 + 5).
4 + 5 = 9
4⋅9 = 36
So x2 = 36.
Square root both sides.
Then x = √36
x > 0
So you don't have to write (±)
in front of the square root sign.
36 = 62
Then cancel the square and the square root.
So x = 6.