[img]data:image/png;base64,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[/img][br]If tan(X°) = 24/7, what are the lengths of each side?
XY = 7, YZ = 24, XZ = 25[br]Use pythagorean theorem: 24² + 7² = c², so c = 25[br][img]data:image/png;base64,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[/img]