Triangles

CBSE Class 10 · Mathematics · 29 past questions

These are the board's own papers. 164 more board questions reprinted in the books we use in class are for signed-in students: sign in.

1. Q1 2026

   In $\triangle$ DEF, AB $\parallel$ EF. The value of x is… (with a figure)

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2. Q2 2026

   It is given that $\Delta$ ABC $\sim$ $\Delta$ QRP such that AB = 9 cm, BC = 5 cm and PR = 2 cm. Length of…

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3. Q3 2026

   Devansh proved that ΔABC ~ ΔPQR using SAS similarity criteria. If he found ∠C = ∠R, then which of the…

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4. Q4 2026

   In the given figure, PQ $\parallel$ YZ such that XP : PY = 2 : 3. If PQ = 5 cm, then YZ equals (with a figure)

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5. Q5 2026

   It is given that $\triangle ABC \sim \triangle EDF$. Which of the following is not true ?

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6. Q6 2026 (Basic)

   In the given figure, PQ $||$ BC. If AP : AB = 3 : 7 then, AQ : QC equals… (with a figure)

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7. Q7 2026 (Basic)

   In the given figure, QR || CB and RP || AC. If BR = 10 cm, QA = 12 cm, BP = 12 cm and PC = 18 cm, then find… (with a figure)

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8. Q8 Sample paper 2026-27

   The perimeters of two similar triangles are 56 cm and 70 cm respectively. If one side of the first triangle…

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9. Q9 Sample paper 2026-27

   ABCD is a trapezium in which AB is parallel to DC and its diagonals intersect each other at the point O. Show…

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10. Q10 Sample paper 2026-27

    Prove that a line drawn parallel to one side of a triangle to intersect the other two sides in distinct…

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11. Q11 2025

    In the given figure, PQ || BC. If $\frac{AP}{PB} = \frac{4}{13}$ and AC = 20·4 cm, then the length of AQ is… (with a figure)

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12. Q12 2025

    Which of the following statements is incorrect ?

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13. Q13 2025

    If in two triangles ΔDEF and ΔPQR, ∠D = ∠Q and ∠R = ∠E, then which of the following is not true ?

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14. Q14 2025

    The measurements of ΔLMN and ΔABC are shown in the figure given below. The length of side AC is… (with a figure)

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15. Q15 2025

    In the given figure, in $\triangle$ ABC, AD $\perp$ BC and $\angle$ BAC = 90°. If BC = 16 cm and DC = 4 cm… (with a figure)

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16. Q16 2025

    Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…

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17. Q17 2025

    In triangles ABC and DEF, ∠ B = ∠ E, ∠ F = ∠ C and AB = 3 DE. Then, the two triangles are…

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18. Q18 2025 (Basic)

    From the figures given below, which of the following is true about the measure of $\angle P$ ? (with a figure)

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19. Q19 2024

    If the diagonals of a quadrilateral divide each other proportionally, then it is a…

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20. Q20 2024

    In $\triangle$ ABC, DE $\parallel$ BC (as shown in the figure). If AD = 2 cm, BD = 3 cm, BC = 7.5 cm, then… (with a figure)

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21. Q21 2024

    In the given figure $\triangle$ABC is shown. DE is parallel to BC. If AD = 5 cm, DB = 2.5 cm and BC = 12 cm… (with a figure)

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22. Q22 2024

    The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to

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23. Q23 2024

    AB and CD are two chords of a circle intersecting at P. Choose the correct statement from the following… (with a figure)

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24. Q24 2023

    If $\triangle ABC \sim \triangle PQR$ with $\angle A = 32^\circ$ and $\angle R = 65^\circ$, then the measure…

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25. Q25 2023

    In the given figure, DE || BC. If AD = 2 units, DB = AE = 3 units and EC = x units, then the value of x is… (with a figure)

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26. Q26 2023

    In the given figure, $\triangle ABC \sim \triangle QPR$. If AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x; then… (with a figure)

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27. Q27 2023

    In $\Delta$ ABC, PQ $\|$ BC. If PB = 6 cm, AP = 4 cm, AQ = 8 cm, find the length of AC. (with a figure)

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28. Q28 2023

    In the given figure, XZ is parallel to BC. AZ = 3 cm, ZC = 2 cm, BM = 3 cm and MC = 5 cm. Find the length of… (with a figure)

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29. Q29 2023 (Basic)

    The sides of two similar triangles are in the ratio 4 : 7. The ratio of their perimeters is

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