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HACTEHA [7]
3 years ago
11

Help please?? 50 points!

Mathematics
2 answers:
Schach [20]3 years ago
7 0
6 \sqrt{3}
is the correct answer

Rudiy273 years ago
6 0
The triangle ABC and the triangle BCD are similar, therefore

\dfrac{3+9}{x}=\dfrac{x}{9}\ \ \ |cross\ multiply\\\\x^2=12\cdot9\\\\x^2=108\to x=\sqrt{108}\\\\x=\sqrt{36\cdot3}\\\\x=\sqrt{36}\cdot\sqrt3\\\\\boxed{x=6\sqrt3}

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