How many triangles are in this picture?

Question:

How many triangles are in this picture?

Answer:

44

Explanation

(An image is provided after the explanation)

Welcome to the mesmerizing world of geometric puzzles! Brace yourself for a challenge that will have you scrutinizing every nook and cranny of the image above. It may look simple at first, but beware, there’s more to it than meets the eye!

Your task is to count the number of triangles hidden within this seemingly innocent picture. As you start your quest, you’ll encounter various types of triangles—right-angles, isosceles, equilateral—all artfully entwined to keep you on your toes.

Proceed with caution, for it’s easy to underestimate the true number of triangles lurking in plain sight. Take your time, go cross-eyed if you must, and carefully spot those elusive shapes.

Now, here comes the moment of truth. How many triangles did you manage to find? If you’ve reached a number you’re satisfied with, let’s compare it to our answer. Did you come up with 44? If you did, then congratulations, you’ve conquered the puzzle!

For those who love a good equation, we have a mathematical expression to arrive at the same answer: 16 + (8 × 2) + (4 × 2) + (1 × 2) + (1 × 2). But fear not, even without this equation, you can still triumph in this challenge.

To break it down for you, let’s consider the following:

  • Each square formed by four triangles contains eight smaller triangles. Multiply 8 by 4 squares, and you get 32 triangles.
  • But that’s not all! The whole puzzle comprises four large triangles, adding 4 more triangles to our count, bringing the total to 36.
  • And wait, there’s more! Don’t forget the eight medium triangles within the puzzle, adding another 8 to our count, resulting in a grand total of 44!

To make it crystal clear, we’ve provided an image below, highlighting all the triangles concealed in this cunning puzzle.

how many triangles

Now, take a moment to appreciate the intricate design and revel in your triumph as a true triangle detective. Happy puzzling!

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