Question

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 2 and BD = 4, what is the length of DC? (Note: the figure is not drawn to scale.) B 4 с A 2 D Submit Answer Answer: o O Type here to search

Answer 1

Using the geometric mean theorem,we have:

`\begin{gathered} (DC)/(4)=(4)/(2) \\ (DC)/(4)=2\text{ (Dividing)} \\ DC=2\cdot4(\text{Multiplying by 4 on both sides of the equation)} \\ DC=8(\text{Multiplying)} \\ \text{The answer is DC=8} \end{gathered}`