Can I get 10 case study based questions in triangles chapter

1.	Can I get 10 case study based questions in triangles chapter
Answer» 1. In ΔLMN, ∟L = 50°and ∟N= 60°. If ΔLMN is similar to ΔPQR, then find ∟Q. (AI CBSE 2009)2. If areas of two similar triangles are in the ratio 25:64, write the ratio of their corresponding sides. (AI CBSE 2009)3. D, E and F are mid points of sides BC, AC and AB respectively of triangle ABC. Find ar(ΔDEF)/ar(ΔABC). ( AI CBSE 2008)4. If one diagonal of a trapezium divides the other diagonal in the ratio 1:2. Prove that one of the parallel sides is double the other. (CBSE 2010)5. ABC is a right triangle, right angled at A, and D is the mid-point of AB. Prove that BC2\xa0= CD2\xa0+ 3BD2. (AI CBSE 2009 C)6. If the diagonals of a quadrilateral divide each other proportionally, prove that it is a trapezium. (CBSE 2008)7. Triangle ABC is right angled at B and D is the mid-point of BC. Prove that:- AC2\xa0= 4AD2\xa0. 3AB2.(AI CBSE 2008 C)8. E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that ΔABC is similar to ΔCFB. (AI CBSE 2008)

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