Problema Solution
The perimeter of a triangle is 39 inches. The second side is 9 times as long as the first side. The third side is 1 inch longer than the second side. Find the length of each side. Show your work
Answer provided by our tutors
Let a, b and c represent the lengths of the sides of the triangle
a = first side
b = second side
c = third side
The perimeter of a triangle is 39 inches:
a + b + c = 39
The second side is 9 times as long as the first side:
b = 9a
The third side is 1 inch longer than the second side:
c = 1 + b
By solving the system of equations:
a + b + c = 39
b = 9a
c = 1 + b
........
........
a = 2 in
b = 18 in
c = 19 in
The lengths of the triangle are 2 in, 18 in and 19 in.