Let the sides of the triangle be 5x, 9x, and 11x.
The perimeter of the triangle is the sum of all the sides, so we have:
5x + 9x + 11x = 100
25x = 100
x = 4
Therefore, the lengths of the sides are:
5x = 5(4) = 20
9x = 9(4) = 36
11x = 11(4) = 44
So, the lengths of the sides are 20, 36, and 44.
A triangle has sides according to the extended ratio: 5:9:11. If the perimeter of the triangle is 100, write and solve an equation on x that models this situation. Use that value of x to find the lengths of the sides.
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