Asked by puyr
If the hypotenuse of a 30-60-90 triangle is 8 cm, how long is the side opposite the 60-degree angle?(1 point)
The side opposite the 60-degree angle is
cm.
Incorrect
What is the ratio for the sides of 30-60-90 triangles?
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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 (short leg opposite 30° : long leg opposite 60° : hypotenuse).
If the hypotenuse = 8, then 2x = 8 → x = 4 (short leg). The side opposite 60° = x√3 = 4√3 cm (≈ 6.928 cm).
If the hypotenuse = 8, then 2x = 8 → x = 4 (short leg). The side opposite 60° = x√3 = 4√3 cm (≈ 6.928 cm).
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