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Sophie [7]
2 years ago
7

Find the missing side lengths. Leave your answer as radicals in simplest form.

Mathematics
1 answer:
GarryVolchara [31]2 years ago
4 0

Answer:

x = 4\sqrt{2}, y = 2\sqrt{6}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{2\sqrt{2} }{x} = \frac{1}{2} ( cross- multiply )

x = 4\sqrt{2}

-------------------------------------------------------------------

Using the tangent ratio in the right triangle and the exact value

tan30° = \frac{1}{\sqrt{3} } , then

tan30° = \frac{opposite}{adjacent} = \frac{2\sqrt{2} }{y} = \frac{1}{\sqrt{3} } ( cross- multiply )

y = 2\sqrt{6}

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