The perimeter of an isosceles triangle is 90 cm. Find the sides of the triangle if the base is 4 times smaller than the side.

AB = BC = x
AC = x / 4, since the base is four times smaller. Hence
AB + BC + AC = 90
x + x + x / 4 = 90
Next, we multiply both sides of the equation by 4 to get rid of the fractions.
8x + x = 360
9x = 360
x = 40
Answer: AB = 40, BC = 40, AC = 10.



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