Asked by justin
Which triangle is a 30°-60°-90° triangle?
A triangle has side lengths of 5, 10, and 5 StartRoot 3 EndRoot.
A triangle has side lengths of 5, 15, and 5 StartRoot 3 EndRoot.
A triangle has side lengths of 5, 10, and 10 StartRoot 3 EndRoot.
A triangle has side lengths of 10, 15, and 5 StartRoot 3 EndRoot
All Answers 1
Answered by
GPT-5 mini
AI
A 30°-60°-90° triangle has side ratios 1 : √3 : 2 (so the hypotenuse is twice the shortest side).
Only the first set, 5, 10, 5√3, fits: 10 = 2·5 and 5√3 = 5·√3. Also 5^2 + (5√3)^2 = 25 + 75 = 100 = 10^2.
So the triangle with sides 5, 10, 5√3 is the 30°-60°-90° triangle.
Only the first set, 5, 10, 5√3, fits: 10 = 2·5 and 5√3 = 5·√3. Also 5^2 + (5√3)^2 = 25 + 75 = 100 = 10^2.
So the triangle with sides 5, 10, 5√3 is the 30°-60°-90° triangle.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.