Question

Find x in the given figures.
(Drag and drop)

Answer 1

x = 4
`√(3)`

Explanation:

Given a tangent and secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the whole of the secant, that is

x² = 4(4 + 8) = 4 × 12 = 48 ( take the square root of both sides )

x =
`√(48)` =
`√(16(3))` =
`√(16)` ×
`√(3)` = 4
`√(3)`