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Find the missing side lengths

Put answers as radicals in simplest form
Look at picture for Reference

Find the missing side lengths Put answers as radicals in simplest form Look at picture-example-1

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Answer:

We have a right triangle with an angle of 45 degrees. The side lengths are x, y, and 2√2.

In a 45-45-90 triangle, the two legs are congruent, so we can set x = y.

Using the Pythagorean theorem, we can relate the side lengths of the triangle:

x^2 + x^2 = (2√2)^2

2x^2 = 8

x^2 = 4

x = √4

x = 2

Therefore, the missing side lengths are:

x = 2

y = 2

So, the side lengths of the triangle are 2, 2, and 2√2.

Explanation:

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