Question

Find the length of BD
BD=

Answer 1

BD = 13

Explanation:

By property of intersecting chords inside a circle:

`6 * 6 = 4 * (5x - 1) \\ 36 = 4 * (5x - 1) \\ 5x - 1 = (36)/(4) \\ 5x - 1 = 9 \\ 5x = 9 + 1 \\ 5x = 10 \\ x = (10)/(5) \\ x = 2 \\ 5x - 1 = 5 * 2 - 1 = 10 - 1 = 9\\ BD = 4 + 9 \\ \: \: \: \: \: \: \: \huge \red{ \boxed{BD = 13}}`