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

September 29, 2021 | education

| **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.

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