The bases of the trapezoid are 4 and 6, the area is 6, find the height of the trapezoid.

A trapezoid is a quadrilateral in which one pair of opposite sides is parallel, and the sides are not equal to each other.

In order to find the area of a trapezoid, you need to multiply the half-sum of its bases by the height:

S = (a + B) / 2 h.

Thus, the height can be calculated by dividing the area of the trapezoid by the half-sum of its bases:

h = S / ((a + B) / 2);

h = 6 / ((4 + 6) / 2) = 6/5 = 1.2 cm.

Answer: The height of the trapezoid is 1.2 cm.