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← Bihar Board Class 10 PYQ

Triangles

Bihar Board Class 10 · Mathematics · 42 past questions

  1. Q1 2026
    All the triangles of which of the following types are similar?
  2. Q2 2026
    Two polygons having the same number of sides are similar. Then the relation among their corresponding sides is
  3. Q3 2026
    Ratio of the areas of two similar triangles is 4 : 9; then the ratio of their corresponding sides is
  4. Q4 2026
    If $\triangle ABC \sim \triangle DEF$ and $\frac{AB}{DE}=\frac{3}{5}$ then $\frac{FD}{CA}=$
  5. Q5 2026
    $\triangle ABC \sim \triangle PQR$ and their perimeters are 32 cm and 24 cm respectively. If $AB = 10$ cm…
  6. Q6 2026
    Length of the altitude of an equilateral triangle having side $2a$ cm is
  7. Q7 2026
    Which of the following options is not a Pythagorean triplet ?
  8. Q8 2026
    Area of the equilateral triangle having height $6\sqrt{3}$ cm is
  9. Q9 2026
    If the bisector of an angle of a triangle bisects the opposite side then the triangle is
  10. Q10 2026
    If the lengths of diagonals of a rhombus are 10 cm and 24 cm respectively then each side of the rhombus is
  11. Q11 2025
    If the ratio of areas of two similar triangles is 100 : 144 then the ratio of their corresponding sides is
  12. Q12 2025
    The corresponding sides of two similar triangles are in the ratio 4 : 9. What will be the ratio of the areas…
  13. Q13 2025
    $\Delta ABC \sim \Delta DEF$ and $BC = 3$ cm, $EF = 4$ cm. If the area of $\Delta ABC$ is 54 cm$^2$, then the…
  14. Q14 2025
    In a triangle $ABC$, $\angle A = 90^\circ$, $BC = 13$ cm, $AB = 12$ cm ; then the value of $AC$ is
  15. Q15 2025
    In $\triangle DEF$ and $\triangle PQR$ it is given that $\angle D = \angle Q$ and $\angle R = \angle E$, then…
  16. Q16 2025
    $\triangle ABC$ and $\triangle DEF$ are such that $\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{DF}$ and…
  17. Q17 2024
    If in $\triangle ABC$, $AD$ is the bisector of $\angle BAC$ and $AB = 10$ cm, $AC = 14$ cm, $BC = 6$ cm then…
  18. Q18 2024
    In $\triangle ABC$, $DE \parallel BC$ such that $\frac{AD}{DB} = \frac{3}{5}$. If $AC = 5.6$ cm then $AE = ?$
  19. Q19 2024
    If the ratio of corresponding sides of two similar triangles is 5 : 6 then the ratio of their perimeters is
  20. Q20 2024
    In $\triangle ABC$, $AB = 6\sqrt{3}$ cm, $AC = 12$ cm and $BC = 6$ cm then $\angle B$ is
  21. Q21 2024
    If one side of an equilateral triangle $ABC$ is 12 cm and one side of equilateral triangle $DEF$ is 6 cm then…
  22. Q22 2024
    $\triangle ABC$ and $\triangle PQR$ are similar triangles in which $AD$ is perpendicular from vertex $A$ to…
  23. Q23 2024
    If one side of an equilateral triangle is 12 cm then its height is
  24. Q24 2023
    In ΔABC, X, Y are two points on sides AB and AC respectively and XY || BC. If AX: XB = 2:3, then the value of…
  25. Q25 2023
    The ratio of the areas of two similar triangles are 121 : 64. Then the ratio of their corresponding medians is
  26. Q26 2023
    The perimeters of two similar triangles are 30 cm and 20 cm respectively. If the length of one side of first…
  27. Q27 2023
    The area of an equilateral triangle is $36\sqrt{3}$ cm$^2$. Then its side is
  28. Q28 2022
    If $\triangle ABC \sim \triangle QRP$, $\frac{ar(\triangle ABC)}{ar(\triangle PQR)} = \frac{9}{4}$, $AB = 18$…
  29. Q29 2022
    In $\triangle PQR$ if $PR^2 = PQ^2 + QR^2$ then $\angle Q =$
  30. Q30 2022
    In $\triangle PQR$, $S$ and $T$ are points on the sides $PQ$ and $PR$ respectively such that…
  31. Q31 2022
    In $\triangle ABC$, $D$ and $E$ are points on the sides $AB$ and $AC$ respectively such that…
  32. Q32 2022
    The sum of all the three angles of a triangle is
  33. Q33 2022
    In $\triangle PQR$ if $PQ = PR$ and $\angle Q = 40°$ then $\angle P =$
  34. Q34 2020
    In $\triangle DEF$ and $\triangle PQR$, it is given that $\angle D = \angle Q$ and $\angle R = \angle E$…
  35. Q35 2020
    If the corresponding sides of two similar triangles are in the ratio of 3 : 4, then the ratio of their…
  36. Q36 2020
    One of the sides of an equilateral triangle $ABC$ is 12 cm, then its height is
  37. Q37 2019
    If the ratio of areas of two similar triangles is 64 : 121, then the ratio of their corresponding sides is -
  38. Q38 2019
    One of the side of an equilateral triangle is 2a, then its height is -
  39. Q39 2019
    If in two triangles ABC and PQR, $\angle A = \angle P$, $\angle B = \angle Q$, $\angle C = \angle R$, then -
  40. Q40 2019
    A man goes 24 m West, again he goes 10 m North. Now at what distance is the man from his initial point?
  41. Q41 2018
    ΔABC ∼ ΔDEF. Area of ΔABC and ΔDEF are 9 and 16 sq. cm respectively. If EF = 4.2cm then BC (in cm) =
  42. Q42 2018
    The point of concurrency of three altitudes of a triangle is called its-