3 years ago

Find the value of x.

Mathematics

1 answer:

Roman55 [17]3 years ago

3 0

Answer:

$\huge\boxed{x=\sqrt{21}}$

Step-by-step explanation:

ΔABD and ΔBCD are similar (AAA).

Therefore the corresponding sides are in proportion:

$\dfrac{BD}{CD}=\dfrac{AD}{BD}$

Substitute

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

$\dfrac{x}{3}=\dfrac{7}{x}$ cross multiply

$(x)(x)=(3)(7)\\\\x^2=21\to x=\sqrt{21}$

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