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

Last updated at Feb. 12, 2025 by Teachoo

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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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