Jump to content

Recommended Posts

Posted

This is a very easy problem.

 

Prove that if you connect midpoints of sides of any triangle to form a new triangle, the ratio of the area of the new triangle to the original triangle is 1:4.

 

Remember, proving means showing for all cases. It's easy to see this is true by equilateral triangle but that's not really proving. :)

Posted

A glib answer is that the new inner triangle is half the size in each linear direction of the outer one, is the same shape, so must be quarter the area.

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.