PYQ Vault
EbooksTutor

Basic proportionality: DE parallel to BC divides AB and AC in the same ratio, find a segment

This type of question, asked 4 times: 26 Jul 2023 S1, 26 Sep 2024 S2, 26 Sep 2025 S1, 26 Sep 2025 S3. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    26 Jul 2023 S1

    53
    In ΔABC\Delta ABC, DE∥BCDE \parallel BC and ADDB=45\frac{AD}{DB} = \frac{4}{5}. If DE= 12 cm, find the length of BC.

    Tap an option to check your answer.

  2. Question 2

    26 Sep 2024 S2

    70
    In Δ\DeltaABC, DE ∥\parallel BC and 5AE = 3EC. If AB = 6.4 units, then the value of DB (in units) is:

    Tap an option to check your answer.

  3. Question 3

    26 Sep 2025 S1

    71
    In triangle ABC, DE is drawn parallel to BC, intersecting AB and AC at D and E respectively. If AD=3, DB=6, and AE=4, find EC.

    Tap an option to check your answer.

  4. Question 4

    26 Sep 2025 S3

    71
    If in triangle ABC, DE || BC and AD/DB=12\frac{1}{2}, and AE = 5 cm, then EC is:

    Tap an option to check your answer.