• 2021 December(E23) Math Question 13

    Trigonometry

    - Pythagorean Theorem & sin cos tan

    Pythagorean Theorem and Special Right Triangles
    Choice E

    Given that

    Distance  between  A  and  B=2000kmDistance\; between\; A\; and\; B=2000km
    Distance  between  A  and  C=1600kmDistance\; between\; A\; and\; C=1600km
    Distance  between  A  and  D=2500kmDistance\; between\; A\; and\; D=2500km

    As given in figure above

    Distance  between  C  and  D=900km=300km×3Distance\; between\; C\; and\; D=900km=300km\times3

    and

    Distance  between  B  and  C=1200km=400km×3Distance\; between\; B\; and\; C=1200km=400km\times3

    which are the multiples of 3. then distance between B and D will also be a multiple of 3

    ∴Distance  between  B  and  D=500km×3=1500km\therefore Distance\; between\; B\; and\; D=500km\times3=1500km

    So Choice E is correct.

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