The middle line is equal to the sided triangle divides it. Triangle and quadrangle. Specify the type of this quadrangle

| February 11, 2021 | education

The middle line is equal to the sided triangle divides it. Triangle and quadrangle. Specify the type of this quadrangle, and find the perimeter. The middle line is 6 cm.

A triangle is three points that do not lie on one straight line, connected by segments. In this case, the points are called the vertices of the triangle, and the segments are called its sides.

The middle line of a triangle is a line segment connecting the midpoints of its two sides:

AA1 = CC1 = AB / 2 = BC / 2;

AA1 = CC1 = 6/2 = 3 cm.

The middle line of the triangle is parallel to the third side, and its length is half the length of this side:

A1C1 = AC / 2;

AC = A1C1 * 2;

AC = 6 * 2 = 12 cm.

The type of this quadrilateral is a trapezoid.

The perimeter of a trapezoid is the sum of all its sides:

P = AA1 + A1C1 + CC1 + AC;

P = 3 + 6 + 3 + 12 = 24 cm.

Answer: the type of this quadrangle is a trapezoid, its perimeter is 24 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.