In a rectangular trapezoid ABCD, the large side AB is 25 and the base is 2 and 26, find the area of the trapezoid.

univerkov | May 9, 2021 | education

From the top of the trapezoid, draw the height CH.

Since the trapezoid is rectangular, and CH is height, then the quadrangle ABCH is a rectangle, then AH = BC = 2 cm.

The SDN triangle is rectangular, with the leg DH = AD – AH = 26 – 2 = 24 cm.

Then, by the Pythagorean theorem, CH ^ 2 = CD ^ 2 – DH ^ 2 = 625 – 576 = 49.

CH = 7 cm.

Then S avsd = (BC + AD) * CH / 2 = (2 + 26) * 7/2 = 98 cm2.

Answer: The area of the trapezoid is 98 cm2.

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.