# In a rectangular trapezoid, the acute angle is 45, and the lengths of the smaller side and the smaller

June 26, 2021 | education

| **In a rectangular trapezoid, the acute angle is 45, and the lengths of the smaller side and the smaller sash are 6. Find the length of the midline.**

Let’s build the height of the CH trapezoid DCH.

Quadrangle ABCN is a rectangle, since the trapezoid is rectangular, and CH is its height, then AH = BC = 6 cm, CH = AB = 6 cm.

The right-angled triangle CDH is isosceles, since its acute angle is 45, then DH = CH = 6 cm.

AD = AH + DH = 6 + 6 = 12 cm.

Determine the length of the midline of the trapezoid.

KM = (BC + AD) / 2 = (6 + 12) / 2 = 9 cm.

Answer: The length of the middle line is 9 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.