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Mathematics - Properties of Triangles

Practise 250 AP 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 AP EAMCET tests.

Properties of Triangles has been asked in 23 of the 24 years of AP EAMCET papers analysed (2001–2024), with 250 questions in all. 33% of them were easy, 54% moderate and 12% tough. Most of its questions came from 2022, with 34 questions that year. In the last three years (2022–2024) it had 79 questions across 28 papers, about 2.8 per paper.

The chapter's 6 topics are not weighted equally: Napiers Analogy, Area of Triangle & Half angle Formulae (71 questions, 28%), Cosine Rule and Projection Formula (61 questions, 24%), and Sine Rule and its application (58 questions, 23%) have been asked the most. Over the last five years the most frequent topics have been Circle Connected to Triangle (34), Cosine Rule and Projection Formula (33), and Sine Rule and its application (30). Circle Connected to Triangle has produced the most tough questions (11).

  1. 1In , if are in arithmetic progression then27 May, 2025 (M)Cosine Rule and Projection Formula
  2. 2If in and area of is sq.units, then the side27 May, 2025 (M)Properties of Triangles
  3. 3In triangle , if and , then26 May, 2025 (M)Cosine Rule and Projection Formula
  4. 4In a . If the circumradius of the is eight times its inradius then26 May, 2025 (M)Sine Rule and its application
  5. 5In , if and , then26 May, 2025 (M)Cosine Rule and Projection Formula
  6. 6In a triangle ABC, if and , then26 May, 2025 (E)Sine Rule and its application
  7. 7In if the line joining the circumcentre and the incentre is parallel to BC, then26 May, 2025 (E)Circle Connected to Triangle
  8. 8In a triangle ABC, if and , then26 May, 2025 (E)Circle Connected to Triangle
  9. 9In a triangle , if are in arithmetic progression and the angle is twice the angle C, then24 May, 2025 (M)Sine Rule and its application
  10. 10In a triangle ABC, if and C are in arithmetic progression, and , then24 May, 2025 (M)Sine Rule and its application
  11. 11In a24 May, 2025 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  12. 12In , if , then23 May, 2025 (M)Cosine Rule and Projection Formula
  13. 13In triangle ABC, if and , then23 May, 2025 (M)Circle Connected to Triangle
  14. 14In , if , then23 May, 2025 (E)Circle Connected to Triangle
  15. 15In triangle ABC, if , then23 May, 2025 (E)Cosine Rule and Projection Formula
  16. 16In a triangle , if , then23 May, 2025 (E)Circle Connected to Triangle
  17. 17In a , then22 May, 2025 (M)Circle Connected to Triangle
  18. 18In22 May, 2025 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  19. 19If the sides of the triangle are in harmonic progression, then are in22 May, 2025 (E)Sine Rule and its application
  20. 20In , if and then22 May, 2025 (E)Circle Connected to Triangle
  21. 21In , the sum of the lengths of two sides is and the product of those lengths is . If is the length of its third side and , then the circumra21 May, 2025 (M)Circle Connected to Triangle
  22. 22If the area of a triangle is . units, length of the side is 6 units and , then its smallest side is of length21 May, 2025 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  23. 23In a if then is21 May, 2025 (M)Circle Connected to Triangle
  24. 24In a triangle ABC, if and b is an integer, then the area (in sq. units) of triangle ABC is21 May, 2025 (E)Properties of Triangles
  25. 25In a if , then21 May, 2025 (E)Sine Rule and its application
  26. 26In a triangle ABC, if , then21 May, 2025 (E)Circle Connected to Triangle
  27. 27In23 May, 2024 (M)Sine Rule and its application
  28. 28Preview not available - open to view this question.23 May, 2024 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  29. 29In23 May, 2024 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  30. 30In , if , then the smallest angle (in radians) of that triangle is22 May, 2024 (M)Cosine Rule and Projection Formula
  31. 31In , if , then22 May, 2024 (M)Sine Rule and its application
  32. 32In , if are in arithmetic progression, and , then22 May, 2024 (M)Circle Connected to Triangle
  33. 33In a if then22 May, 2024 (E)Circle Connected to Triangle
  34. 34In a , if then22 May, 2024 (E)Sine Rule and its application
  35. 35In22 May, 2024 (E)Circle Connected to Triangle
  36. 36If 7 and 8 are the lengths of two sides of a triangle and ' ' is the length of its smallest side. The angles of the triangle are in AP and '21 May, 2024 (E)Cosine Rule and Projection Formula
  37. 37In , if and , then21 May, 2024 (E)Cosine Rule and Projection Formula
  38. 38In , if then21 May, 2024 (E)Circle Connected to Triangle
  39. 39In , if then20 May, 2024 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  40. 40If a circle is inscribed in an equilateral triangle of side a, then the area of any square (in sq. units) inscribed in this circle is20 May, 2024 (M)Circle Connected to Triangle
  41. 41Match the items of List-I with those of List-II (Here denotes the area of .) Then the correct match is20 May, 2024 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  42. 42In20 May, 2024 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  43. 43In a triangle ABC . if , then19 May, 2024 (E)Sine Rule and its application
  44. 44In if then19 May, 2024 (E)Sine Rule and its application
  45. 45In a triangle ABC , if , then19 May, 2024 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  46. 46If the area of the circum-circle of triangle formed by the line and the positive coordinate axes is sq.units, then19 May, 2024 (E)Circle Connected to Triangle
  47. 47If18 May, 2024 (M)Cosine Rule and Projection Formula
  48. 48In a if then18 May, 2024 (M)Cosine Rule and Projection Formula
  49. 49In , if and , then19 May, 2023 (M)Circle Connected to Triangle
  50. 50In , if is the inradius and are the ex-radii, then19 May, 2023 (M)Circle Connected to Triangle

Frequently Asked Questions

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

This chapter includes 250 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP 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 AP EAMCET Mathematics?

Properties of Triangles has appeared in 24 of the 25 years of AP EAMCET papers covered here, with 250 questions across 88 papers - about 3 per paper it appears in.

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

Of the 250 questions analysed for this chapter, 33% are easy, 54% moderate and 12% tough. 2022 had the most, with 34 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 - 71 questions (28%)
  • Cosine Rule and Projection Formula - 61 questions (24%)
  • Sine Rule and its application - 58 questions (23%)
  • Circle Connected to Triangle has produced the most tough questions (11).
6.Is Properties of Triangles's weightage in AP EAMCET going up or down?

Across all 88 papers analysed, Properties of Triangles has averaged about 2.8 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.