Question

If BC = 5 and CD = 26, find AC.

Answer 1

Answer:

$AC=\sqrt{130}$

Step-by-step explanation:

AC is the geometric mean.  Solve it using this proportion:

$\frac{BC}{AC}=\frac{AC}{CD}$

Now fill in the values we know:

$\frac{5}{AC}=\frac{AC}{26}$

Cross multiply to get

$(AC)^2=130$

That means that

AC = $\sqrt{130}$, which, in decimal form is

AC = 11.40175425