Question

Find X in the given figures

Answer 1

x = 4
`√(3)`

Explanation:

Given a tangent and a secant from an external point to a circle.

Then the square of the tangent is equal to the product of the secant's external part and the entire secant , that is

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

x =
`√(48)` =
`√(16(3))` = 4
`√(3)`