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29 March, 03:11

The lengths of the sides of a triangle are in the extended ratio 4 : 9 : 10. the perimeter of the triangle is 115 cm. what are the lengths of the sides?

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  1. 29 March, 03:23
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    If the lengths of the sides will be: 4x, 9x and 10x.

    perimeter of a triangle is the sum of all sides.

    Therefore; we can suggest the following equation:

    4x+9x+10x=115

    23x=115

    x=115/23

    The lengths of the sides will be:

    4x=4 (115/23) = 20

    9x=9 (115/23) = 45

    10x=10 (115/23) = 50

    Answer: the lengths would be: 20 cm, 45 cm and 50 cm.
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