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14 October, 19:11

Triangle ABC is similar to triangle TUV. What is the value of AC if TV is 9 feet. AB is 36 feet, and TU is 4 feet?

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  1. 14 October, 19:24
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    Step-by-step explanation:

    Triangle ABC is similar to triangle TUV. This means that the ratio of the length of each side of ∆ABC to the length of the corresponding side of ∆ TUV is constant. Therefore,

    AB/TU = BC/UV = AC/TV

    Therefore,

    36/4 = AC/9

    Cross multiplying, it becomes

    4 * AC = 9 * 36

    4AC = 324

    Dividing the left hand side and the right hand side of the equation by 4, it becomes

    4AC/4 = 324/4

    AC = 81 feet
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