SOLUTION: The base of an isosceles triangle is 12 in. less than the length of the equal sides. If the perimeter of the triangle is 39 in., find the length of each of the sides.

Algebra.Com
Question 72518: The base of an isosceles triangle is 12 in. less than the length of the equal sides. If the perimeter of the triangle is 39 in., find the length of each of the sides.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The base of an isosceles triangle is 12 in. less than the length of the equal sides. If the perimeter of the triangle is 39 in., find the length of each of the sides.

Let x = the length of each of the two equal sides

The base is 12 inches less or x-12


          /\
         /  \
       x/    \x
       /      \
      /________\
         x-12

left side + right side + base = perimeter

                 x + x + x-12 = 39
                      3x - 12 = 39
                           3x = 51
                            x = 17

The two equal sides are 17 inches each
The base is x-12 or 17-12 or 5 inches.

Edwin

RELATED QUESTIONS

The base of an isosceles triangle is 12 in. less than the length of the equal sides. If... (answered by checkley75)
The base of an isosceles triangle is 12 in. less than the length of the equal sides. If... (answered by jasonlin00)
The base of an isosceles triangle is 12 in. less than the length of the equal sides. If... (answered by Nate)
the base of an isosceles triangle is 3 cm less than the length of the equal sides. if the (answered by elima4)
The base of an isosceles triangle is 8 in. less than the length of the equal sides. If... (answered by checkley71)
The base of an isosceles triangle is 4 in. less than the length of the equal sides. If... (answered by Earlsdon)
The base of an isosceles triangle is 11 in. less than the length of the equal sides. If... (answered by rajagopalan)
The base of an isosceles triangle is 8 in. less than the length of the equal sides. If... (answered by Fombitz)
The base of an isosceles triangle is 1 in. less than the length of one of the equal sides (answered by mananth)