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Right triangle ABC with altitude BP dividing hypotenuse AC into segments AP = 9 and PC = 15, forming two smaller right triangles.

$Right triangle ABC with altitude BP, where AB = a, BC = b, AC = c = 24, AP = m = 9, PC = n = 15, and BP = t.$

Right triangle ABC with altitude BP, where AB = a, BC = b, AC = c = 24, AP = m = 9, PC = n = 15, and BP = t.

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