Calculate the height of a rectangular trapezoid, the side of which is 5 cm, and the difference between the bases is 4 cm.

We denote the length of the larger base of the trapezoid through X cm, then the length of the smaller base will be equal to: BC = (X – 4) cm.

Let’s draw the height of the ВН. Since the quadrangle BCDH is a rectangle, then DH = BC = (X – 4) see.

The length of the segment AH = AD – DH = (X – (X – 4)) = 4 cm.

From the right-angled triangle ABН, according to the Pythagorean theorem, BH ^ 2 = AB ^ 2 – AH ^ 2 = 25 – 16 = 9.

BH = 3 cm.

Answer: The height of the trapezoid is 3 cm.