question 8 (multiple choice worth 1 points)
(03.05r mc)

$\delta abc$ is similar to $\delta axy$ by a ratio of 3:2. if $bc = 24$, what is the length of $xy$?

Question

question 8 (multiple choice worth 1 points)
(03.05r mc)

$\delta abc$ is similar to $\delta axy$ by a ratio of 3:2. if $bc = 24$, what is the length of $xy$?

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Similar Triangles Applications" ], "new_concepts": [], "current_concepts": [ "Similar Triangles Applications", "Triangle Similarity Statements" ] } ## Set up the similarity ratio $$ \frac{BC}{XY} = \frac{3}{2} $$ ## Substitute the known value and solve for XY $$ \begin{aligned} \frac{24}{XY} &= \frac{3}{2} \ 3 \cdot XY &= 48 \ XY &= 16 \end{aligned} $$ 16 { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Geometry", "Similar Triangles Applications" ] }

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Question

Explanation:

Set up the similarity ratio

Substitute the known value and solve for XY

Answer: