Answer:
The length of BD equals 7.4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
This is the pythagorean theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Let's solve.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {3}^{2} = {8}^{2} \\ {a}^{2} + {9} = {64} \\ \frac{ \: \: \: \: \: \: - 9 = - 9}{ {a}^{2} = \sqrt{55} } \\ a = 7.4[/tex]
Therefore, The length of BD = 7.4.
