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24 March, 13:28

The perimeter of the triangle is 44cm. if it's sides are in the ratio 9:7:6. find its area

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  1. 24 March, 15:03
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    The area is 83.905 cm^3

    Step-by-step explanation:

    The total ratio is 9 + 7 + 6 = 22

    So the length of the sides are as follows;

    9/22 * 44 = 18 cm

    7/22 * 44 = 14 cm

    6/22 * 44 = 12cm

    we can use Heron's formula to find the area of the triangle

    we find a first

    s = (a + b + c) / 2 = (18+14+12) / 2 = 44/2 = 22

    Mathematically, the Heron's formula is as follows;

    A = √s (s-a) (s-b) (s-c)

    where a, b and c are 18,14 and 12 respectively

    Plugging the values, we have;

    A = √22 (22-18) (22-14) (22-12)

    A = √ (22 * 4 * 8 * 10)

    A = √ (7,040)

    A = 83.905 cm^3
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