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

Find the missing side lengths. Leave your answers as radicals in simplest form.-example-1
User Sungjun
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1 Answer

5 votes

Answer:

y = 2;

x = 22

.

Explanation:

Use trigonometry:


\tan(45°) = (y)/(2)

Use the property of proportion to find x (cross-multiply):


y = 2 * \tan(45°) = 2 * 1 = 2

Use the Pythagorean theorem to find x:


{x}^(2) = {y}^(2) + {2}^(2)


{x}^(2) = {2}^(2) + {2}^(2) = 4 + 4 = 8


x > 0


x = √(8) = √(4 * 2) = 2 √(2)

User Gigs
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