In a right-angled triangle ABC with an acute angle of 30 °, the hypotenuse is 12 cm. Find the legs.

univerkov | September 1, 2021 | education

Let the angle A = 30 °.
The BC leg, which is located opposite the 30 ° angle, is 6 cm (half of the AB hypotenuse).
The second unknown leg AC is found by the Pythagorean theorem:
AC = √ (144 – 36) = √108 = 6√3 (cm).
Answer: the legs of the ABC triangle are 6 cm and 6√3 cm.

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