2 Answers

Richard Ambler · Answer 1 · 2020-06-05T01:31:23+0000

Answer:

x = 3√(2)

y = 6√(2)

Explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

1 : √(3) : 2

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

x * √(3) = 3√(6)

x = (3√(6))/(√(3))

$x = 3 * \sqrt{(6)/(3)}$

x = 3√(2)

The hypotenuse is twice the length of the short leg.

y = 2 * 3√(2)

y = 6√(2)

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