The leg, which lies opposite an angle of 30 degrees, is 6 cm. What is the hypotenuse?

One of the properties of a right-angled triangle says that a leg lying opposite an angle of 30 degrees is equal to half of the hypotenuse, that is, if the leg is a and the hypotenuse is c, then: a = c / 2. Substitute the known values into the expression: 6 = s / 2. Let’s solve the resulting equation: c = 2 * 6 (the main property of the “cross to cross” proportion); c = 12 cm.
Answer: c = 12 cm.



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