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Triangles

19 lessons · 30 questions · 12 PYQs

What the exams ask here

  • triangles with integer sides perimeter 15
  • max rectangle inside right triangle
  • area given median and angle
  • ratio of segments
  • acute triangles with consecutive integer sides, perimeter <= 100 (Indore 2020 Q12)
  • sides x, 21, 40 with x shortest (Indore 2022 Q19); midpoint segment DE = 6, hypotenuse 13 (Indore 2022 Q20)
  • BM : AD for sides 2:4:3 (Indore 2023 Q31); AB = AC, AD = AE, angle CDE (Indore 2024 Q20)
  • x/y = 2 sin(theta) with circumradius y (Indore 2025); centroid distance / side of an equilateral triangle in a circle (JIPMAT 2024 Q8, Q14)

Lessons

  1. Start hereThe idea and the methodFirst lesson of Triangles
  2. 1.Area formulas3 questions + fresh variants
  3. 2.Median and angle area5 questionsIndore 2024
  4. 3.Isosceles angle chase2 questions + fresh variantsIndore 2024
  5. 4.Integer sides perimeter count1 question + fresh variantsIndore 2024 SA
  6. 5.Acute obtuse from sides3 questions + fresh variantsIndore 2020
  7. 6.Triangle inequality valid side2 questions + fresh variantsIndore 2022
  8. 7.Similar triangles ratio1 question + fresh variants
  9. 8.Inscribed rectangle max area1 question + fresh variantsIndore 2024 SA
  10. 9.Incircle circumradius3 questions + fresh variantsIndore 2025
  11. 10.Angle bisector theoremNew numbers every time (templates)
  12. 11.Centroid distance2 questionsJIPMAT 2024
  13. 12.Right triangle check2 questionsJIPMAT 2024 (like)
  14. 13.Midpoint theorem2 questionsIndore 2022
  15. 14.Median length1 question + fresh variantsIndore 2023
  16. 15.Incentre excentre anglesNew numbers every time (templates)
  17. 16.Altitude on hypotenuseNew numbers every time (templates)
  18. 17.Crossing poles heightNew numbers every time (templates)
  19. 18.Angle ratio exterior angle2 questions