[ Transfer of side, diagonal, etc. ]

Find the height of the trapezoid, the lateral sides of which are 6 and 8, and the bases are 4 and 14.

#
Through the vertex of the smaller base of the trapezoid, draw a line parallel to the lateral side. This line cuts off a triangle from the trapezoid with sides 6, 8, and 10. This triangle is a right triangle.

![](https://cdn.mathpix.com/cropped/2024_05_06_96d74c2697cd905bd948g-36.jpg?height=229&width=418&top_left_y=2152&top_left_x=823)

## Answer

4.8 .