Question

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A rancher has a three sided plot of land that will be used for grazing sheep each side length is a multiple of the 100 one side is 300 yards long and the other side of 600 yards long what is the shortest possible like the 3 sided plot of land

Answer 1

The shortest possible length is 400 yards

Explanation:

To find the shortest possible length of the third side, we apply the triangle equality theorem

This states that the sum of two of the sides of a triangle must be greater than the third side for us to have a triangle being formed

Since we must have a multiple of 100, the next multiple of 100 greater than 600 is 700

So we simply subtract 300 from this so that we can get the possible length of the third side

Mathematically, this will be;

700-300 = 400