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Answer:
[tex]x=\dfrac{3}{2}[/tex]
[tex]y =\dfrac{\sqrt{3}}{2}[/tex]
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Step-by-step explanation:
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In a special 30-60-90 right triangle, the lengths of its sides are in the ratio 1 : √3 : 2, which means that:
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In the given triangle, the hypotenuse measures √3. Therefore, the length of the shortest leg (opposite the 30° angle) is:
[tex]\newline[/tex]
[tex]y =\dfrac{\sqrt{3}}{2}[/tex]
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The longest leg is √3 times the length of the shortest leg. Therefore:
[tex]\newline[/tex]
[tex]x=\sqrt{3} \cdot y[/tex]
[tex]x=\sqrt{3} \cdot \dfrac{\sqrt{3}}{2}[/tex]
[tex]x=\dfrac{\sqrt{3} \cdot \sqrt{3}}{2}[/tex]
[tex]x=\dfrac{3}{2}[/tex]
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Rewritten by : Barada
