The length of the second side of a triangle is 2 inches less than the length of the first side. The length of the third side is 12 inches more than the length of the first side. the perimeter of the triangle is 73 inches. Find the length of each side of the triangle.

The lenght of the tree sides of the triangle are:

first side: 21 inches

second side: 19 inches

third side: 33 inches

Step-by-step explanation:

a + b + c = 73

b = a - 2

c = a + 12

a = leght of the first side of the triangle

b = lenght of the second side of the triangle

c = lenght of the third side of the triangle

then:

a + (a-2) + (a+12) = 73

3a - 2 + 12 = 73

3a + 10 = 73

3a = 73 - 10

3a = 63

a = 63/3

a = 21 inches

b = a - 2

b = 21 - 2

b = 19 inches

c = a + 12

c = 21 + 12

c = 33 inches

Check:

21 + 19 + 33 = 73

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