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6 February, 07:34

The sides of a triangle are 9, 12, and 15 centimeters long. what is the angle between the 2 shortest sides?

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  1. 6 February, 11:00
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    Use this following formula to solve the problem

    a² + b² - (2ab) cos C = c²

    From the question, we can determine

    a = 9

    b = 12

    c = 15

    and the question is the angle C (angle between a and b)

    Input the numbers between the formula

    a² + b² - (2ab) cos C = c²

    9² + 12² - (2 * 9 * 12) cos C = 15²

    81 + 144 - 216 cos C = 225

    225 - 216 cos C = 225

    -216 cos C = 0

    cos C = 0

    ∠C = 90°

    Angle between the 2 shortest sides is 90°
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