Triangle is a very popular shape used in interior designing. The picture given above shows a cabinet designed by a famous interior designer.
Class 10 CBSE Mathematics Standard Sample Paper 2024-25 question no 37 Case Study Based Question 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. (ii) If DP= 50 cm and PE = 70 cm then find ππ πΈπΉ . (iii) (A) If 2AB = 5DE and △ ABC ∼ △ DEF then show that πππππππ‘ππ ππ △π΄π΅πΆ πππππππ‘ππ ππ △π·πΈπΉ is constant. OR (iii) (B) If AM and DN are medians of triangles ABC and DEF respectively then prove that △ ABM ∼ △ DEN.