triangle abc is shown below.
what is the length of line segment ac?
7
9
14
18

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Isosceles Triangle Properties" ], "new_concepts": [], "current_concepts": [ "Isosceles Triangle Properties", "Linear Equations" ] } ## Set up equation using isosceles triangle properties $$ \begin{aligned} \angle B &\cong \angle C \ AB &= AC \ 2x &= 3x - 7 \end{aligned} $$ ## Solve for x $$ \begin{aligned} 3x - 2x &= 7 \ x &= 7 \end{aligned} $$ ## Calculate the length of AC $$ \begin{aligned} AC &= 3x - 7 \ AC &= 3(7) - 7 \ AC &= 21 - 7 \ AC &= 14 \end{aligned} $$

7

9

14

18

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

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Question

Explanation:

Set up equation using isosceles triangle properties

Solve for x

Calculate the length of AC

Answer: