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Find the value of x.
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Find the value of x.

Find the value of x.-example-1
User Denis Yaroshevskiy
by
7.8k points

1 Answer

5 votes

Answer:


\huge\boxed{x=√(21)}

Explanation:

ΔABD and ΔBCD are similar (AAA).

Therefore the corresponding sides are in proportion:


(BD)/(CD)=(AD)/(BD)

Substitute


BD=x;\ CD=3;\ AD=7


(x)/(3)=(7)/(x) cross multiply


(x)(x)=(3)(7)\\\\x^2=21\to x=√(21)

User Potter
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