You get a bonus - 1 coin for daily activity. Now you have 1 coin

Trapezium area

Lecture






  Trapezium area

Theorem

The area of ​​the trapezoid is equal to the half-sum of its bases and the height

  Trapezium area

Evidence

  Trapezium area

Let ABCD be a trapezoid.
The diagonal of the AC trapezoid divides it into two triangles: ABC and CDA. Consequently, the area of ​​a trapezoid is equal to the sum of the areas of these triangles.
The area of ​​the ACD triangle is

  Trapezium area

The area of ​​the triangle ABC is equal to

  Trapezium area

The heights AF and CE of these triangles are equal to the distance h between the parallel lines BC and AD, i.e. height of the trapezoid. Consequently,

  Trapezium area

The theorem is proved.

Comments


To leave a comment
If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

Planometry

Terms: Planometry