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Similar triangles: ratio of areas equals square of ratio of sides

This type of question, asked 4 times: 15 Nov 2020 Tier II, 8 Aug 2022 Tier II, 3 Mar 2023 Tier II, 18 Jan 2025 Tier II. All 4 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    30
    Given that Δ\DeltaDEF~Δ\DeltaABC. If the area of Δ\DeltaABC is 9 cm2\text{cm}^2 and that of Δ\DeltaDEF = 12 cm2\text{cm}^2 and BC = 2.1 cm, then the length of EF is:

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  2. Question 2

    8 Aug 2022 Tier II

    68
    Triangle BAC is similar to triangle PQR. The area of triangle BAC and triangle PQR is 25 cm225\ \text{cm}^2 and 36 cm236\ \text{cm}^2 respectively. If BA =4 cm, then what is the length of PQ?

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  3. Question 3

    3 Mar 2023 Tier II

    26
    If the areas of two similar triangles are in the ratio 196 : 625,what would be the ratio of the corresponding sides?

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  4. Question 4

    18 Jan 2025 Tier II

    20
    If the areas of two similar triangles are in the ratio 121:225121 : 225, what would be the ratio of the corresponding sides?

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