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

Mathematics

1 answer:

Blababa [14]4 years ago

3 0

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

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