draw an altitude. That will give you two right triangles that are 30-60-90 degrees.
Since the sides of those triangles are in the ratio of 1:√3:2, and you have the long leg as half the base, or 10cm, the hypotenuse (the side of the isosceles triangle) has length 20/√3.
So, the triangle has perimeter
20 + 20√3 + 20√3
find the perimeter of an isosceles triangle whose base is 20cm and the vertex angle is 120 degrees.
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