Using the Pythagorean theorem, the equation that shows the relation between x, b, and y-c is: D. x² + (y - c)² = b².
How to Apply the Pythagorean Theorem?
When given a right triangle having an hypotenuse of b, and two small legs measuring a and c, the Pythagorean Theorem states that the three lengths of any right triangle are related in such a way that: the square of b equals the sum of the squares of a and c. That is: b² = a² + c².
Thus, we are given the following lengths of the right triangle that is referenced as:
- x (small leg)
- b (hypotenuse)
- y - c (small leg)
Applying the Pythagorean theorem, the square of b equals the sum of the squares of x and (y - c).
Thus, we would have the equation that relates the three side lengths as:
x² + (y - c)² = b²
Thus, applying the Pythagorean theorem, the equation that shows the relation between x, b, and y-c is: D. x² + (y - c)² = b².
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