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10 August, 01:34

The lengths of the sides of a triangle are in the extended ratio 8:9:10. The perimeter of the triangle is 54 cm. What are the lengths of the sides?

The lengths of the sides of the triangle in cm are

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  1. 10 August, 04:47
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    Ratio = 8:9:10

    Let the sides be = 8n, 9n, 10n

    Perimeter = sum of all the sides

    = 8n+9n+10n=27n

    Thus,

    = 27n=54 cm

    = n = 54 cm/27

    = n = 2 cm

    Thus, sides =

    = 8n = 8*2 cm = 16 cm

    = 9n = 9*2 cm = 18 cm

    = 10n = 10*2 cm = 20 cm
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