3 years ago

Find the value of x. Please help! Thanks.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

8 0

Answer:

$\huge\boxed{x=\sqrt{30}}$

Step-by-step explanation:

ΔABC and ΔBDC are similar (AAA).

Therefore the corresponding sides are in proportion:

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

substitute

$AC=7+3=10\\{BC}=x\\CD=3$

$\dfrac{10}{x}=\dfrac{x}{3}$ <em>cross multiply</em>

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