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17 September, 17:12

The ratio of the sides of a triangle is 2:6:7. If the perimeter of the triangle is 195 meters, what is the length of the longest side?

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  1. 17 September, 18:10
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    91 meters

    Step-by-step explanation:

    If the ratio of the sides of a triangle is 2:6:7 then the sides of the triangle are

    2x, 6x and 7x for some number x

    The perimeter of the triangle is 195 meters, so

    2x+6x+7x = 195 = ==> 15x = 195 = ==> x = 195/15 = ==> x = 13

    The longest side is 7x, hence the longest side is

    7*13 = 91 meters
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