In an isosceles triangle with a perimeter of 78 cm, the base is 6 times the lateral base. Find the sides of the triangle.

the problem can be solved using the equation
since the triangle is isosceles, then the sides are equal, we can denote them as x cm, therefore the base will be 6x cm
From the condition that the perimeter of the triangle is 78 cm, we compose the equation
x + x + 6x = 78
8x = 78
x = 9.75
9.75 cm are the sides, but we need to find all the sides of the triangle, we find the base
it is 6x, therefore 6 * 9.75 = 58.5 cm
Answer: the sides of the triangle are 9.75 cm, and the base is 58.5 cm