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Given hypotenuse c and angle A: opposite = c×sin(A), adjacent = c×cos(A). Given two legs a and b: hypotenuse = √(a²+b²), angle A = arctan(a/b). Angles always sum to 180°; right angle is 90°, so A+B = 90°. Area = ½ × base × height = ½ab. SOH-CAH-TOA: sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. Essential for surveying, construction, and navigation.
Hypotenuse c
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