The angle at the apex of an isosceles triangle is 120 °. The height drawn to the side is 18 cm. Find the base of this triangle.

The height has formed two identical right-angled triangles.
One of the acute angles is 60 degrees, which means that the other is 30 degrees, respectively, the side against which the angle of 30 degrees lies is half the hypotenuse, and since the height is 18 cm, the hypotenuse is 36 cm.



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