Questions: Find the length of the missing side of the right triangle pictured below. The picture is not drawn to scale. Round your answer to 2 decimal places as needed

Find the length of the missing side of the right triangle pictured below. The picture is not drawn to scale. Round your answer to 2 decimal places as needed
Transcript text: Find the length of the missing side of the right triangle pictured below. The picture is not drawn to scale. Round your answer to 2 decimal places as needed
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Solution

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Solution Steps

Step 1: Apply the Pythagorean Theorem

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, we can label the missing side as 'x'. The theorem gives us the equation: x² + 17² = 24²

Step 2: Simplify the equation

Simplifying the equation from step 1, we get: x² + 289 = 576

Step 3: Solve for x

Subtract 289 from both sides: x² = 287. Then, take the square root of both sides: x = √287 ≈ 16.94

Final Answer

16.94

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