A nice little triangle puzzle

I’ve been binge listening to math podcasts lately. In one – and, sadly, I don’t remember which one! – I heard a neat problem about triangles. Last night Paula Beardell Krieg shared Suzanne von Oy’s blog post which reminded me of the problem:

After seeing von Oy’s post I threw together some shapes from the puzzle and set them to print overnight. This morning I went through the puzzle with both kids.

Here’s the puzzle: You have triangles with sides 5-5-6 and 5-5-8. Which one has the larger area?

My older son went first:

My younger son went second – my older son has much more experience with geometry so I thought having them work separately would be better.

I think this is a great puzzle / problem for kids learning geometry.

Advertisements

Comments

One Comment so far. Leave a comment below.
  1. doQuent,

    It might be interesting to pursue the “true in general” thought and derive the area as a function of the third side length (the first two sides being 5).

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: