The perimeter of a triangle with two equal sides is 50 cm. If its base were lengthened by 3 cm and each leg were shortened by 4 cm, all three sides would be equal. Find the length of the base of the original triangle.

Answer:Base of the original triangle is 12 cm.Step-by-step explanation:Let base of triangle be x  two equal legs  of triangles by y therefore perimeter of triangle                        x+y+y = 50 or x+2y =50 according to the question  if base is x+3 and leg is y-4 then both are equal    that is x+3 = y-4             y-x = 7 or y =x+7    x+2y =50    x+2(x+7) = 50     x+2x +14 =50      3x +14 =50      3x = 50 -14       3x = 36       x = 12 therefore base of the original  triangle is 12 cm