question 19 of 25
$\overline{oc}$ is perpendicular to $\overline{ab}$. what is the length of $\overline{ab}$?
a. 20.1 units
b. 13.4 units
c. 6.7 units
d. 3.35 units

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Perpendicular Bisector of a Chord" ], "new_concepts": [], "current_concepts": [ "Perpendicular Bisector of a Chord", "Chord Definition" ] } ## Identify the geometric relationship $$ \begin{aligned} &\overline{OC} \perp \overline{AB} \ &AC = 6.7 \end{aligned} $$ ## Apply the perpendicular bisector theorem $$ \begin{aligned} &CB = AC = 6.7 \ &AB = AC + CB \end{aligned} $$ ## Calculate the total length $$ \begin{aligned} &AB = 6.7 + 6.7 = 13.4 \text{ units} \end{aligned} $$

A. 20.1 units

B. 13.4 units

C. 6.7 units

D. 3.35 units

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Perpendicular Bisector of a Chord" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the geometric relationship

Apply the perpendicular bisector theorem

Calculate the total length

Answer: