Problema Solution

The equal sides of an isosceles are 5 inches longer than a non equal side. If the perimeter of the triangle is 31 inches find the length of the sides.

Answer provided by our tutors

let


a = the length of the equal sides

b = the length of the non-equal side


the equal sides of an isosceles are 5 inches longer than a non equal side


a = 5 + b


the perimeter of the triangle is 31 inches


2a + b = 31


by solving the system of equations


a = 5 + b

2a + b = 31


we find


a = 12 in


b = 7 in


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the lengths of the sides of the triangle are 12 inches and 7 inches.