Find the value of r.

r = 10

Step-by-step explanation:

r is simply the 3rd leg of the triangle. Use Pythagorean theorem to solve for r:

r^2 + (24)^2 = (r + 16)^2

r^2 + 576 = r^2 + 32r + 256

32r = 320

r = 10

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