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Aleonysh [2.5K]
4 years ago
14

Find the length of BD BD=

Mathematics
1 answer:
Triss [41]4 years ago
5 0

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}}

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