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11 July, 10:09

in right triangle ABC, angle C is a right angle, AB is 25 units long, and BC is 24 units long. What is the lenght of AC?

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  1. 11 July, 12:56
    0
    7 units long

    Step-by-step explanation:

    We are given a right triangle ABC

    AB = 25 units BC = 24 units

    We are required to determine the length of AC

    We are going to use the Pythagoras theorem; According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;

    a² + b² = c²

    In this case;

    AB is the hypotenuse and BC is one of the legs of the triangle;

    Therefore;

    AB² = BC²+AC²

    Rearranging the formula;

    AC² = AB² - BC²

    = 25² - 24²

    = 625 - 576

    = 49

    AC = √49

    = 7

    Thus, AC is 7 units long
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