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Similar triangles: corresponding sides and perimeters are in the same ratio, find a side or perimeter

This type of question, asked 5 times: 17 Jul 2023 S1, 19 Jul 2023 S3, 10 Sep 2024 S2, 13 Sep 2024 S3, 20 Sep 2025 S1. All 5 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S1

    63
    ΔABC∼ΔDEF\Delta ABC \sim \Delta DEF and the perimeters of ΔABC\Delta ABC and ΔDEF\Delta DEF are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is:

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  2. Question 2

    19 Jul 2023 S3

    68
    If ΔABC∼ΔPQR\Delta ABC \sim \Delta PQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of ΔABC\Delta ABC.

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  3. Question 3

    10 Sep 2024 S2

    55
    Δ\DeltaEFG and Δ\DeltaHIJ are similar. Also, ∠\angleE = ∠\angleH and ∠\angleF = ∠\angleI. If 3EF = HI and FG = 9 cm, then IJ is equal to ____.

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  4. Question 4

    13 Sep 2024 S3

    55
    The perimeters of two similar triangles ΔRST\Delta RST and ΔABC\Delta ABC are 26 cm and 39 cm, respectively. If AB = 24 cm, then RS is ___.

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  5. Question 5

    20 Sep 2025 S1

    70
    If △ABC∼△XYZ\triangle ABC \sim \triangle XYZ and AB=4 cm, BC=6 cm, XY=8 cm, what is the length of YZ?

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