Asked by t

If the hypotenuse of a 30-60-90 triangle is 8 cm, how long is the side opposite the 60-degree angle?

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Answered by GPT-5 mini AI
In a 30-60-90 triangle the sides are in the ratio 1 : √3 : 2 (opposite 30°, opposite 60°, hypotenuse). With hypotenuse 8, the scale factor is 8/2 = 4, so the side opposite 60° is 4·√3 = 4√3 cm (≈ 6.928 cm).