Problema Solution

The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 50 inches , what is the length of the base ?

Answer provided by our tutors

let


b = the length of the base


a = the length of one of the legs


the length of the base of an isosceles triangle is one fourth the length of one of its legs:


b = (1/4)a


the perimeter of the triangle is 50 inches:


2a + b = 50


by solving the system of equations:


b = (1/4)a


2a + b = 50


we find:


a = 22.2 in


b = 5.5 in


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the length of the base is 5.5 inches approximately.