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Mathematics - Properties of Triangles

Practise 124 MHTCET previous year questions on Properties of Triangles, compiled from papers spanning 2016 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty MHTCET tests.

Properties of Triangles has been asked in 11 of the 17 years of MHTCET papers analysed (2007–2026), with 124 questions in all. 25% of them were easy, 69% moderate and 6% tough. Most of its questions came from 2025, with 37 questions that year. In the last three years (2024–2026) it had 71 questions across 59 papers, about 1.2 per paper.

The chapter's 5 topics are not weighted equally: Sine Rule and its application (46 questions, 37%), Napiers Analogy, Area of Triangle & Half angle Formulae (41 questions, 33%), and Cosine Rule and Projection Formula (32 questions, 26%) have been asked the most. Over the last five years the most frequent topics have been Napiers Analogy, Area of Triangle & Half angle Formulae (34), Sine Rule and its application (27), and Cosine Rule and Projection Formula (24). Sine Rule and its application has produced the most tough questions (4).

  1. 1With the usual notations, if the lengths of the sides of the triangle are 3 units, 5 units and 7 units, then the largest angle of the triang20 Apr, 2026 (E)Cosine Rule and Projection Formula
  2. 2The angles of are in A.P. and then20 Apr, 2026 (E)Sine Rule and its application
  3. 3In , with usual notations, if the sides , and are in the ratio , then19 Apr, 2026 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  4. 4If ABC is a triangle of area with , where are the lengths of the sides of the triangle opposite to angles A, B and C respectively, then is e19 Apr, 2026 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  5. 5In , with usual notations, , then19 Apr, 2026 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  6. 6In , with usual notation, if , then the sum of the values of and is....18 Apr, 2026 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  7. 7In triangle ABC, with usual notations, if , then the measure of angle C is...18 Apr, 2026 (M)Cosine Rule and Projection Formula
  8. 8In , with usual notations, if denotes the area of triangle then the value of is equal to18 Apr, 2026 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  9. 9In , if , then the value of is...17 Apr, 2026 (M)Cosine Rule and Projection Formula
  10. 10With usual notations, in , if , then which of the following is true ?17 Apr, 2026 (M)Sine Rule and its application
  11. 11In , with usual notation, if cot A, cot B, cot C are in arithmetic progression, then17 Apr, 2026 (E)Sine Rule and its application
  12. 12In a triangle ABC, with usual notations , and then the values of and respectively are16 Apr, 2026 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  13. 13With usual notations in ABC, if then16 Apr, 2026 (M)Cosine Rule and Projection Formula
  14. 14In triangle ABC, with usual notations, if and , then angle C is equal to...16 Apr, 2026 (E)Cosine Rule and Projection Formula
  15. 15In with usual notations, if (where is the semi-perimeter), then the value of is...15 Apr, 2026 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  16. 16Let , , be the altitudes of a triangle ABC from the vertices A, B, C respectively. If denotes the area of the triangle and s is the semi-per15 Apr, 2026 (E)Sine Rule and its application
  17. 17In a triangle ABC, with the usual notations, , . If D divides BC internally in the ratio 1:3, then15 Apr, 2026 (E)Sine Rule and its application
  18. 18With usual notations, in ,13 Apr, 2026 (M)Cosine Rule and Projection Formula
  19. 19With usual notations, in , if , then13 Apr, 2026 (M)Cosine Rule and Projection Formula
  20. 20In a triangle ABC, with usual notations if and , then13 Apr, 2026 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  21. 21In , with usual notations, if , then the values of and are.....11 Apr, 2026 (M)Sine Rule and its application
  22. 22In triangle ABC, with usual notations, if the angles are in Arithmetic Progression and , then the measure of angle A is11 Apr, 2026 (E)Sine Rule and its application
  23. 23With usual notation, in a triangle ABC , then the value of is equal to05 May, 2025 (E)Cosine Rule and Projection Formula
  24. 24In a triangle ABC , with usual notations, the sides are such that they are roots of the equation then05 May, 2025 (E)Cosine Rule and Projection Formula
  25. 25If are altitudes of a triangle from the vertices respectively and if is the area of the triangle, is the semi perimeter of the triangle, the27 Apr, 2025 (E)Cosine Rule and Projection Formula
  26. 26In a triangle , with usual notation, divides internally in the ratio 1:3 then27 Apr, 2025 (E)Sine Rule and its application
  27. 27In a triangle ABC , with usual notations, if , then total number of triangles possible are26 Apr, 2025 (M)Sine Rule and its application
  28. 28In a triangle ABC , with usual notations,26 Apr, 2025 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  29. 29In a triangle , with usual notations, , then26 Apr, 2025 (M)Cosine Rule and Projection Formula
  30. 30In a triangle ABC with usual notations if , then the value of26 Apr, 2025 (E)Sine Rule and its application
  31. 31In a triangle with usual notations, . If and are the roots of the equation. , then26 Apr, 2025 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  32. 32If the angles and of a triangle are in A.P. and if and denote the length of the sides opposite to and respectively, then the value of is26 Apr, 2025 (E)Sine Rule and its application
  33. 33In a triangle , with usual notations. Then25 Apr, 2025 (M)Cosine Rule and Projection Formula
  34. 34If in triangle , with usual notations and is the perimeter of the triangle, then the value of is25 Apr, 2025 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  35. 35The circumradius of a triangle whose sides are 10 units, 8 units and 6 units is25 Apr, 2025 (E)Circle Connected to Triangle
  36. 36In , with usual notations, if , then23 Apr, 2025 (M)Cosine Rule and Projection Formula
  37. 37In a triangle ABC with usual notations.23 Apr, 2025 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  38. 38With usual notations, in , the lengths of two sides are 10 cm and 9 cm respectively. If angles are in A.P. then perimeter of ABC is23 Apr, 2025 (M)Sine Rule and its application
  39. 39In a triangle , with usual notations, if , then23 Apr, 2025 (M)Cosine Rule and Projection Formula
  40. 40In a triangle ABC with usual notations if , then area of triangle23 Apr, 2025 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  41. 41In a triangle with one of the angles , the lengths of the sides form an A.P. If length of the greatest side is 7 m , then the area of the tr23 Apr, 2025 (E)Cosine Rule and Projection Formula
  42. 42In , with usual notations, if , then .22 Apr, 2025 (M)Cosine Rule and Projection Formula
  43. 43In a triangle ABC with usual notations if, , then22 Apr, 2025 (M)Napiers Analogy, Area of Triangle & Half angle Formulae
  44. 44In a triangle ABC with usual notations if, , then the triangle is22 Apr, 2025 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  45. 45In a triangle ABC with usual notations, if , then22 Apr, 2025 (E)Napiers Analogy, Area of Triangle & Half angle Formulae
  46. 46With usual notation, in triangle , then the value of is equal to21 Apr, 2025 (M)Sine Rule and its application
  47. 47In , with usual notations, then _____ sq. units.21 Apr, 2025 (M)Cosine Rule and Projection Formula
  48. 48In a triangle ABC , with usual notations if , then the value of and the ratio respectively are,21 Apr, 2025 (M)Sine Rule and its application
  49. 49With usual notations, the perimeter of a triangle ABC is 6 times the arithmetic mean of sine of its angles. If , then21 Apr, 2025 (E)Sine Rule and its application
  50. 50In a triangle ABC , with usual notations , , then21 Apr, 2025 (E)Napiers Analogy, Area of Triangle & Half angle Formulae

Frequently Asked Questions

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

This chapter includes 124 questions compiled from MHTCET papers spanning 2016 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Properties of Triangles has appeared in 11 of the 17 years of MHTCET papers covered here, with 124 questions across 76 papers - about 2 per paper it appears in.

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

Of the 124 questions analysed for this chapter, 25% are easy, 69% moderate and 6% tough. 2025 had the most, with 37 questions.

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

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

  • Sine Rule and its application - 46 questions (37%)
  • Napiers Analogy, Area of Triangle & Half angle Formulae - 41 questions (33%)
  • Cosine Rule and Projection Formula - 32 questions (26%)
  • Sine Rule and its application has produced the most tough questions (4).
6.Is Properties of Triangles's weightage in MHTCET going up or down?

Across all 76 papers analysed, Properties of Triangles has averaged about 1.6 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.