[SQP] Triangle is a very popular shape used in interior designing - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard

part 2 - Question 37 (i) - Case Based - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10
part 3 - Question 37 (i) - Case Based - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

 

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Question 37 [Case Based] Triangle is a very popular shape used in interior designing. The picture given above shows a cabinet designed by a famous interior designer. Here the largest triangle is represented by △ABC and smallest one with shelf is represented by △DEF. PQ is parallel to EF.Question 37 (i) Triangle is a very popular shape used in interior designing. The picture given above shows a cabinet designed by a famous interior designer. Here the largest triangle is represented by △ABC and smallest one with shelf is represented by △DEF. PQ is parallel to EF. (i) Show that △DPQ ∼ △DEF.Given, PQ ∥ EF And, DE as transversal ∴ ∠ DPQ = ∠ DEF Also, PQ ∥ EF And, DE as transversal ∴ ∠ DQP = ∠ DFE (Corresponding Angles) (Corresponding Angles) Now, In Δ DPQ & Δ DEF ∠ DPQ = ∠ DEF ∠ DQP = ∠ DFE ∴ Δ DPQ ~ Δ DEF Hence proved

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