which inequality can be used to explain why these three segments cannot be used to construct a triangle?

\$ ac + ab > cb \$
\$ ac + cb < ab \$
\$ ac + cb > ab \$
\$ ac + ab < cb \$

Question

which inequality can be used to explain why these three segments cannot be used to construct a triangle? $ ac + ab > cb $ $ ac + cb < ab $ $ ac + cb > ab $ $ ac + ab < cb $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Triangle Inequality Theorem" ], "new_concepts": [], "current_concepts": [ "Triangle Inequality Theorem" ] } ## State the triangle inequality theorem $$ AC + CB > AB $$ ## Analyze the given segments $$ \begin{aligned} &AB \text{ is the longest segment.}\ &AC + CB < AB \end{aligned} $$ ## Identify the violated condition $$ AC + CB < AB $$

(A) $AC + AB > CB$ (B) $AC + CB < AB$

(C) $AC + CB > AB$

(D) $AC + AB < CB$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

State the triangle inequality theorem

Analyze the given segments

Identify the violated condition

Answer: