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Mathematics - Properties of Triangles

Practise 181 TS EAMCET previous year questions on Properties of Triangles, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Properties of Triangles has been asked in 23 of the 24 years of TS EAMCET papers analysed (2001–2024), with 181 questions in all. 37% of them were easy, 48% moderate and 15% tough. Most of its questions came from 2020, with 26 questions that year. In the last three years (2022–2024) it had 43 questions across 17 papers, about 2.5 per paper.

The chapter's 5 topics are not weighted equally: Napiers Analogy, Area of Triangle & Half angle Formulae (56 questions, 31%), Circle Connected to Triangle (44 questions, 24%), and Cosine Rule and Projection Formula (41 questions, 23%) have been asked the most. Over the last five years the most frequent topics have been Circle Connected to Triangle (27), Cosine Rule and Projection Formula (17), and Sine Rule and its application (17). Circle Connected to Triangle has produced the most tough questions (10).

  1. 1If are the sides of a triangle ABC, then04 May, 2025 (M)Cosine Rule and Projection Formula
  2. 2Let be the altitudes of a triangle ABC drawn through the vertices respectively. If are the ex-radii of triangle ABC then04 May, 2025 (M)Circle Connected to Triangle
  3. 3If the angular bisector of the angle A of the triangle ABC meets its circumcircle at E and the opposite side BC at D, then04 May, 2025 (E)Circle Connected to Triangle
  4. 4In a triangle and , then its inradius04 May, 2025 (E)Circle Connected to Triangle
  5. 5In a triangle ABC, if and , then03 May, 2025 (M)Cosine Rule and Projection Formula
  6. 6Let ABC be a triangle right angled at B. If and , then03 May, 2025 (M)Circle Connected to Triangle
  7. 7If are the sides of a triangle ABC, then its circumradius is03 May, 2025 (E)Sine Rule and its application
  8. 8If are the altitudes and are the sides of a triangle ABC, then02 May, 2025 (M)Sine Rule and its application
  9. 9Let the angles of a triangle ABC be in arithmetic progression. If the exradii of triangle ABC satisfy the condition , then02 May, 2025 (M)Circle Connected to Triangle
  10. 10In a triangle ABC, if and , then02 May, 2025 (E)Circle Connected to Triangle
  11. 11In a triangle02 May, 2025 (E)Circle Connected to Triangle
  12. 12In a triangle ABC , if , then11 May, 2024 (M)Sine Rule and its application
  13. 13In a triangle ABC , if , then11 May, 2024 (M)Cosine Rule and Projection Formula
  14. 14are the vertices of a triangle . is the perpendicular drawn from to and is the perpendicular bisector of AB . If is the point of intersectio11 May, 2024 (M)Circle and Polygon
  15. 15In triangle ABC , if thèn10 May, 2024 (M)Cosine Rule and Projection Formula
  16. 16In triangle ABC , if and , then10 May, 2024 (M)Sine Rule and its application
  17. 17If are the vertices of then10 May, 2024 (M)Cosine Rule and Projection Formula
  18. 18If is an isosceles triangle with base , then10 May, 2024 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  19. 19In , if , then10 May, 2024 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  20. 20In a triangle , if , then09 May, 2024 (M)Cosine Rule and Projection Formula
  21. 21In a triangle ABC , if and , then09 May, 2024 (M)Sine Rule and its application
  22. 22If , then09 May, 2024 (E)Cosine Rule and Projection Formula
  23. 23In a triangle , if , then09 May, 2024 (E)Circle Connected to Triangle
  24. 24In a triangle09 May, 2024 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  25. 25are the vertices of a triangle . If the bisector of intersects the side at then09 May, 2024 (E)Circle Connected to Triangle
  26. 26In , if a : b : c , then the ratio of the circumradius of its inradius is14 May, 2023 (M)Circle Connected to Triangle
  27. 27The perimeter of a is 6 times the arithmetic mean of the values of the sine of its angles. If its side is of unit length, then14 May, 2023 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  28. 28In , if are in arithmetic progression and , then14 May, 2023 (E)Sine Rule and its application
  29. 29Assertion (A): In , if then Reason (R): In , if then The correct option among the following is14 May, 2023 (E)Sine Rule and its application
  30. 30In , if is an acute angle, and , then13 May, 2023 (M)Sine Rule and its application
  31. 31If the roots of the equation are the ex-radii of a triangle then the perimeter of the triangle is13 May, 2023 (M)Circle Connected to Triangle
  32. 32In triangle , if and , then the inradius of is13 May, 2023 (E)Circle Connected to Triangle
  33. 33In , if and then13 May, 2023 (E)Circle Connected to Triangle
  34. 34In a triangle , if , then12 May, 2023 (M)Circle Connected to Triangle
  35. 35is an isosceles triangle with . If the radius of the circum circle of is equal to the length of , then12 May, 2023 (E)Sine Rule and its application
  36. 36, if and side , then area of the (in sq. units) is12 May, 2023 (E)Cosine Rule and Projection Formula
  37. 37In triangle , if and then20 Jul, 2022 (M)Sine Rule and its application
  38. 38In a triangle , if then20 Jul, 2022 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  39. 39In triangle , if and is an acute angle, then20 Jul, 2022 (E)Cosine Rule and Projection Formula
  40. 40In a triangle , if then20 Jul, 2022 (E)Sine Rule and its application
  41. 41In triangle , if , then20 Jul, 2022 (E)Circle Connected to Triangle
  42. 42If then19 Jul, 2022 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  43. 43If the sides of a triangle whose perimeter is 42 are in arithmetic progression, its circum-radius is and , then19 Jul, 2022 (M)Sine Rule and its application
  44. 44In a triangle , if then19 Jul, 2022 (M)Circle Connected to Triangle
  45. 45In any triangle19 Jul, 2022 (M)Circle Connected to Triangle
  46. 46In a triangle and are medians. If , and then the area of is19 Jul, 2022 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  47. 47If is the circumcentre of a triangle ABC, , and then19 Jul, 2022 (E)Circle Connected to Triangle
  48. 48In a triangle , if , then 419 Jul, 2022 (E)Cosine Rule and Projection Formula
  49. 49In a triangle A B C , if b + c 2 sin 2 A 2 + b - c 2 cos 2 A 2 = K 1 - cos 2 A , then K =18 Jul, 2022 (M)Sine Rule and its application
  50. 50In a triangle A B C , if b = 7 , c = 4 3 and A = 6 then a sin B sin C =18 Jul, 2022 (M)Sine Rule and its application

Frequently Asked Questions

1.How many questions are available for Properties of Triangles?

This chapter includes 181 questions compiled from TS EAMCET papers spanning 2001 to 2025.

2.Are these questions only from TS EAMCET, or from other exams too?

These are TS EAMCET questions specifically for the Properties of Triangles chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Properties of Triangles an important chapter for TS EAMCET Mathematics?

Properties of Triangles has appeared in 24 of the 25 years of TS EAMCET papers covered here, with 181 questions across 63 papers - about 3 per paper it appears in.

4.What is the difficulty level of Properties of Triangles questions in TS EAMCET?

Of the 181 questions analysed for this chapter, 37% are easy, 48% moderate and 15% tough. 2020 had the most, with 26 questions.

5.Which topics in Properties of Triangles should I focus on?

These topics have carried the most weightage in Properties of Triangles:

  • Napiers Analogy, Area of Triangle & Half angle Formulae - 56 questions (31%)
  • Circle Connected to Triangle - 44 questions (24%)
  • Cosine Rule and Projection Formula - 41 questions (23%)
  • Circle Connected to Triangle has produced the most tough questions (10).
6.Is Properties of Triangles's weightage in TS EAMCET going up or down?

Across all 63 papers analysed, Properties of Triangles has averaged about 2.9 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.