The lengths of the sides of a triangle are three consecutive integers. The length of the shortest side is 30% of the perimeter. What is the length of the longest side?

Solution:

Given that,

The lengths of the sides of a triangle are three consecutive integers

Let the sides be "n" and n + 1 and n + 2

Shortest side = n

longest side = n + 2

Perimeter of triangle = sum of all sides

Perimeter of triangle = n + n + 1 + n + 2

Perimeter of triangle = 3n + 3

Given that,

The length of the shortest side is 30% of the perimeter

Shortest side = n

Therefore,

n = 30 % of perimeter

Which means,

30 % of 3n + 3 = n

Therefore,

longest side = n + 2 = 9 + 2 = 11

Thus the length of longest side is 11 units

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step-by-step explanation:

answer: x=3 and y=4

step-by-step explanation: