In the diagram, \overline {BC} BC is an altitude of \DeltaΔABD. To the nearest whole unit, what is the length of \overline {CD} CD ?

Question

asked Mar 18, 2023 165k views

1 Answer

Epistemologist · Answer 1 · 2023-03-23T16:19:42+0000

To answer this question we will use the right triangle altitude theorem.

Using the right triangle altitude theorem we get that:

Substituting BC=16 and CA=23 in the above result we get:

Therefore:

Dividing the above result by 23 we get:

$\begin{gathered} (256)/(23)=(23DC)/(23), \\ DC=(256)/(23)\approx11. \end{gathered}$

Answer: Option D.