Hello, kapitanvicki!
A trapezium is divided into 4 triangles by its diagonals.
Prove the areas of the coloured triangles are equal.Code:B C * * * * * * * *|:::* *:::|:* *:|:::::::::*:::::::|:::::* *::|:::::* O *:|:::::::* *:::|:* | *:::::::* *::* | | *:::* *::* * * * * * * * * * * * * * A E F D
We have trapezoid with diagonals and ,
. . intersecting at
and have a common base, , and equal altitudes,
. . Hence: .
They share