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Answer:
x = (3/2)√2
Explanation:
The ratio of side lengths of the isosceles right triangle is ...
1 : 1 : √2
That means the short side of that triangle will be 6/√2 = 3√2.
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The lengths of the sides of a 30°-60°-90° triangle have the ratios ...
1 : √3 : 2
The long side is the short side of the isosceles right triangle, 3√2, and the short side of the 60° triangle is half that.
x = (3/2)√2