A proof or brief explanation why would be nice too! Thank you!!

- Mar 24th 2013, 08:32 PMJammixDivide a triangle into 2 parts equal area by a line parallel to its base.
A proof or brief explanation why would be nice too! Thank you!!

- Mar 25th 2013, 07:35 AMSorobanRe: Divide a triangle into 2 parts equal area by a line parallel to its base.
Hello, Jammix!

Quote:

Divide a triangle in two equal areas by the line parallel to its base.

Code:`- *`

: *: *

: * :h *

H * : *

: * * * * * * *

: * b *

- * * * * * * * * * *

B

The small triangle has base and height

We want: .

From similar triangles: .

Substitute into [1]: .

Therefore: .