Final answer:
The Pythagorean theorem relates the lengths of the legs of a right triangle, labeled a and b, with the hypotenuse, labeled c. To find the missing side length, you can rearrange the equation a² + b² = c² to solve for the missing side. Plug in the given values for a and c, and use the equation b = √(c² - a²) to find the missing side length.
Step-by-step explanation:
The Pythagorean theorem relates the length of the legs of a right triangle, labeled a and b, with the hypotenuse, labeled c. The relationship is given by: a² + b² = c². To find the missing side length, you can rearrange the equation to solve for the missing side. For example, if you are given the lengths of sides a and c, you can solve for side b by subtracting a² from c² and then taking the square root of the result.
In this case, you are given the equation a² + b² = c², and you need to find the missing side length. To do this, you can rearrange the equation to solve for b. Start by subtracting a² from both sides of the equation: b² = c² - a². Then, take the square root of both sides to find b: b = √(c² - a²). Plug in the given values for a and c, and use a calculator to find the square root of (c² - a²) to determine the missing side length.