angle measures and segment lengths
solve for length of segment a.
$a = ?\text{ cm}$
if two segments intersect inside or outside a circle: $ab = cd$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Intersecting Chords Theorem" ], "new_concepts": [], "current_concepts": [ "Intersecting Chords Theorem" ] } ## Identify the given segment lengths $$ \begin{aligned} &\text{Chord 1 segments: } a \text{ and } 6\text{ cm} \ &\text{Chord 2 segments: } 4\text{ cm and } 3\text{ cm} \end{aligned} $$ ## Apply the Intersecting Chords Theorem $$ \begin{aligned} &a \cdot 6 = 4 \cdot 3 \ &6a = 12 \end{aligned} $$ ## Solve for a $$ \begin{aligned} &a = \frac{12}{6} \ &a = 2 \end{aligned} $$ Solve for length of segment a. $a =$ 2 cm { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Intersecting Chords Theorem" ] }

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Question

Explanation:

Identify the given segment lengths

Apply the Intersecting Chords Theorem

Solve for a

Answer: