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 1
2 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.
1 answer:
Answer:
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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