for the triangles to be similar by the sss similarity theorem, what must be the value of $y$?

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Question

for the triangles to be similar by the sss similarity theorem, what must be the value of $y$?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [], "current_concepts": [ "Triangle Similarity", "SSS Similarity Theorem" ] } ## Set up the ratio of corresponding sides $$ \frac{PR}{AC} = \frac{28}{14} = 2 $$ ## Relate the remaining corresponding sides $$ \begin{aligned} \frac{PQ}{AB} &= \frac{y}{10} = 2 \ \frac{RQ}{CB} &= \frac{y}{10} = 2 \end{aligned} $$ ## Solve for y $$ y = 10 \times 2 = 20 $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "SSS Similarity Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the ratio of corresponding sides

Relate the remaining corresponding sides

Solve for y

Answer: