The sides and the smaller base of the rectangular trapezoid are, respectively, 8,10,10. What is the area of the trapezoid?

univerkov | March 1, 2021 | education

From the top of the trapezoid, we will build the height CH.

Since the trapezoid is isosceles, then the quadrangle ABCН is a rectangle, then CH = AB = 8 cm, AH = BC = 10 cm.

In a right-angled triangle СDН, according to the Pythagorean theorem, we determine the length of the leg DH.

DH ^ 2 = CD ^ 2 – CH ^ 2 = 100 – 64 = 36.

DН = 6 cm.

Then AD = AH + DH = 10 + 6 = 16 cm.

Determine the area of the trapezoid.

Savsd = (ВС + АD) * СН / 2 = (10 + 16) * 8/2 = 104 cm2.

Answer: The area of the trapezoid is 104 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.