In an obtuse isosceles triangle, the perimeter is 96cm, one of the sides is 6cm larger than

In an obtuse isosceles triangle, the perimeter is 96cm, one of the sides is 6cm larger than the other. Find the sides of this triangle

1. Let us introduce the designation of the vertices of the triangle by the symbols A, B, C. AC = BC, since the triangle is isosceles. AB is larger than AC by 6 centimeters.

2. For convenience of calculations, we take the length of the AC side as x. The length of the side AB is (x + 6) centimeters.

3. We make the equation:

x + x + (x + 6) = 96;

3x = 90;

x = 30 centimeters.

AC = BC = 30 centimeters.

AB = 30 + 6 = 36 centimeters.

Answer: the length of the AC side is 30 centimeters, the length of the BC side is 30 centimeters, the length of the AB side is 36 centimeters.