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The perimeter of a triangle is 47 miles. The first side is 5 miles less than twice the second and the third is 2 miles more than the first.

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2 Answers

P of Δ = length of side1 + length of side2 + length of side3
Let's assume that length of side2 is "x" miles.
       then length of side1 will be "2x - 5" miles and
                length of side3 is "2x - 5 + 2 "= "2x -3" miles
P = x + (2x - 5) + (2x - 3) = 47
      5x - 8 = 47 ---> 5x = 55 ---> x = 11 ← length of side2 in miles
length of side1 will be 2 · 11 - 5 = 17 miles
length of side3 is 17 + 2 = 19 miles

Now, let's check the  answer:  P = 17 + 19 + 11 = 47 miles

 

We have a triangle with unknown lengths of each side.  So we will assign 3 variables for all 3 sides of our triangle.

Let s1 = side 1, s2 = side 2, and s3 = side 3.

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