SOLUTION: . Triangle ABC is isosceles with a perimeter of 40 inches. If one of the midsegments has a length of 8 inches and is opposite the base side, what are the possible side lengths for

Algebra ->  Triangles -> SOLUTION: . Triangle ABC is isosceles with a perimeter of 40 inches. If one of the midsegments has a length of 8 inches and is opposite the base side, what are the possible side lengths for       Log On


   

Question 1085528: . Triangle ABC is isosceles with a perimeter of 40 inches. If one of the midsegments has a length of 8 inches and is opposite the base side, what are the possible side lengths for the triangle? (Round to the nearest tenth if necessary.)

Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
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If the mid segment opposite to the base has a length of 8 inches, then the base is 2*8 = 16 inches long.


Then each of two lateral sides is %2840-16%29%2F2 = 12 inches long.