He...xagon

Geometry Level 1

The 2 green points in the diagram are the midpoints of 2 adjacent sides of a regular hexagon.

Which is larger, the red area or the blue area?

The red area The blue area They are equal

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Áron Bán-Szabó
Jul 15, 2017

If we supplement the two areas with the green area, we have the congurent quadrilaterals.

Thereore the two areas are equal.

29 Helpful 0 Interesting 14 Brilliant 2 Confused

Not understood :/

I Love Brilliant - 11 months, 1 week ago
Nicolai Hinsch
Aug 25, 2017

In a circle are the angles above chords when the triangles touch the circle identical. So you can draw a triangle instead of the quadrilateral with the same angles like the red and the same lenghts. When the both triangles have the same area, than has the blue quadrilateral the same area too.

4 Helpful 0 Interesting 2 Brilliant 1 Confused

How do you prove the equality of triangles? Only based on identical angles?

Ion Filipski - 6 months, 2 weeks ago

1 pending report

Vote up reports you agree with

×

Problem Loading...

Note Loading...

Set Loading...