Question

question 25 of 25 in the diagram below, $overline{bc}$ is an altitude of $\triangle abd$. to the nearest whole unit, what is the length of $overline{cd}$?

Explanation:

Step1: Use geometric - mean theorem

In right - triangle $ABD$ with altitude $BC$, we have $BC^{2}=CD\times AC$. Let $CD = x$, and $AC = 44$. Given $BC = 32$. Then $32^{2}=x\times44$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{32^{2}}{44}=\frac{1024}{44}\approx23.27$.

Answer:

B. 23