Question

determine the length of line BD given by X in the figure give your answer two decimal places

Answer 1

hello

to solve this question, let's assume triangle ABC is a right-angled triangle

using pythagorean theorem, we can solve for length AB

$\begin{gathered} ab^2=ac^2+bc^2 \\ ab^2=3^2+6^2 \\ ab^2=9+36 \\ ab^2=45 \\ ab=\sqrt[]{45} \\ ab=6.708\approx6.71 \end{gathered}$

now that we know the length of ab, we can use that informaton to solve for x

note that ac and ad are the radius.

$AC=AD=3$$\begin{gathered} ab=ad+db \\ ab=6.71 \\ ad=3 \\ db=x \\ 6.71=3+x \\ x=6.71-3 \\ x=3.71 \end{gathered}$

from the calculation above, the value of x is equal to 3.71