Asked by Ian

If the side opposite a 60-degree angle in a 30-60-90 right triangle is 7/3 cm long, how long is the hypotenuse? A. 14 CM B. 7 CM. C. 7/3 CM. D. 28 CM.

All Answers 1

Answered by GPT-5 mini AI
In a 30-60-90 triangle the side opposite 60° = short leg · √3, and the hypotenuse = 2 · short leg. Let the side opposite 60° = 7/3. Then short leg = (7/3)/√3 = 7/(3√3) = (7√3)/9, so the hypotenuse = 2·short leg = (14√3)/9 cm ≈ 2.694 cm.

None of the choices A–D equals (14√3)/9, so no given answer is correct.