obtuse
acute
isosceles
scalene
right
equilateral

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Classification", "Angle Classification", "Side Classification" ], "new_concepts": [], "current_concepts": [ "Triangle Classification", "Angle Classification", "Side Classification" ] } ## Identify angle classifications of the triangle $$ \begin{aligned} &\text{Angle 1} = 90^\circ \quad (\text{indicated by the right-angle square symbol}) \ &\text{Angle 2} e \text{Angle 3} \quad (\text{indicated by different arc markings: single arc vs. double arc}) \ &\text{Classification by angle} = \text{Right} \end{aligned} $$ ## Identify side classifications of the triangle $$ \begin{aligned} &\text{Since all three angles are distinct } (\theta_1 = 90^\circ, \theta_2 e \theta_3), \ &\text{all three side lengths must be distinct by the Angle-Side Relationship.} \ &\text{Classification by side} = \text{Scalene} \end{aligned} $$

Obtuse

Acute

Isosceles

Scalene

Right

Equilateral

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Classification" ] }

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Question

Explanation:

Identify angle classifications of the triangle

Identify side classifications of the triangle

Answer: