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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answer

To find the side length x in the right triangle, use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Here, a = 8, b = x, and c = 12.

8² + x² = 12²

64 + x² = 144

x² = 144 - 64

x² = 80

x = √80

x ≈ 8.94

Therefore, the side length x is approximately 8.94.

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