Question

Find the length of BD BD=

Answer 1

Answer:

BD = 13

Step-by-step explanation:

By property of intersecting chords inside a circle:

$6 \times 6 = 4 \times (5x - 1) \\ 36 = 4 \times (5x - 1) \\ 5x - 1 = \frac{36}{4} \\ 5x - 1 = 9 \\ 5x = 9 + 1 \\ 5x = 10 \\ x = \frac{10}{5} \\ x = 2 \\ 5x - 1 = 5 \times 2 - 1 = 10 - 1 = 9\\ BD = 4 + 9 \\ \: \: \: \: \: \: \: \huge \red{ \boxed{BD = 13}}$