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katovenus [111]
2 years ago
7

Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!

Mathematics
2 answers:
galben [10]2 years ago
6 0

Answer:

x = 3\sqrt{2}

y = 6\sqrt{2}

Step-by-step explanation:

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

The ratio of the lengths of the sides is:

1 : \sqrt{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 \times \sqrt{3} = 3\sqrt{6}

x = \dfrac{3\sqrt{6}}{\sqrt{3}}

x = 3 \times \sqrt{\dfrac{6}{3}}

x = 3\sqrt{2}

The hypotenuse is twice the length of the short leg.

y = 2 \times 3\sqrt{2}

y = 6\sqrt{2}

olchik [2.2K]2 years ago
3 0

Answer:x=root6, y=2root18


Step-by-step explanation:


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