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16 October, 13:24

Three baseball players are playing catch. Vondra is directly south of Mei and directly west of

Yoshi. Vondra and Yoshi are 8 meters apart and Yoshi and Mei are 10 meters apart. How farapart are Vondra and Mei?

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  1. 16 October, 14:30
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    Vondra and Mei are 6 meters apart.

    Step-by-step explanation:

    From the given information, It can be known that:

    Vondra is directly south of Mei ⇒ which forms the height of the triangle. Vondra is directly west of Yoshi ⇒ which forms the base of the triangle.

    The distance between Vondra and Yoshi are 8 meters which is the base of the triangle. (Base = 8).

    The distance between Yoshi and Mei are 10 meters which is the hypotenuse of the triangle. (hypotenuse = 10).

    To find the distance between Vondra and Mei which is the height of the triangle:

    From the Pythagorean triplets (3,4,5),

    It is determined that the multiples of (3,4,5) = (6,8,10) forms the triangle in this particular case.

    Therefore, the height is 6 meters. That is, the distance between Vondra and Mei is 6 meters.
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