2 years ago

Find x A. 46–√ B. 32 C. 43–√ D. 6–√

Mathematics

1 answer:

Romashka [77]2 years ago

3 0

Answer:

$\textbf{A. }4\sqrt{6}$

Step-by-step explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

$x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}$

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