Question

question 10 of 10 what is the value of x in the figure below? in this diagram, △abd ~ △cad.

Explanation:

Step1: Use similarity of triangles

Since $\triangle ABD\sim\triangle CAD$, then $\frac{AD}{CD}=\frac{BD}{AD}$. Given $AD = 10$, $CD=16$, and $BD = x$. So $10^{2}=16x$.

Step2: Solve for x

$x=\frac{100}{16}=\frac{25}{4}$.

Answer:

D. $\frac{25}{4}$