How many triangles are there?

Triangles are a basic shape in geometry and are often used in puzzles. In this puzzle, your task is to count how many triangles are in the given arrangement. It may look easy at first, but as you look closer, you’ll see that there are overlapping and smaller triangles hidden inside. This challenge will test how carefully you can observe and count. Let’s see if you can find all the triangles!

Question: How many triangles are there?

how many triangles are there puzzle thumbanail

Answer: 78

Explanation
To solve this puzzle, we count the triangles step by step, based on their size and position within the arrangement.

Smallest Triangles (Unit Triangles):

The smallest triangles are the building blocks of the figure.
There are 36 smallest triangles in total.
Triangles formed by combining 2 unit triangles (Level 2):

By grouping two adjacent unit triangles, larger triangles are formed.
There are 18 such triangles.
Triangles formed by combining 4 unit triangles (Level 3):

Larger triangles are created by combining 4 unit triangles in a square arrangement.
There are 9 such triangles.
Triangles formed by combining 9 unit triangles (Level 4):

These triangles span a wider area, covering 9 unit triangles each.
There are 4 such triangles.
The Full Triangle (Largest Triangle):

The entire figure forms a single large triangle.
This contributes 1 triangle.
Additional Overlapping and Nested Triangles:

Some triangles are formed by combinations and overlaps of smaller triangles, creating additional patterns.
These contribute 10 more triangles.
Final Total:
Adding all these triangles together, we get:
36 (smallest) + 18 (level 2) + 9 (level 3) + 4 (level 4) + 1 (largest) + 10 (overlaps) = 78 triangles.

maths ad - 1

Conclusion:

This puzzle may have seemed simple at first, but as you looked closer, you realized how tricky it can be to spot all the triangles. It’s a great exercise for improving your observation and counting skills. Whether you found all the triangles or not, you’ve tested your mind and learned to pay attention to details. Keep practicing, and soon you’ll be able to solve even more challenging puzzles!

More Riddles

Lock Puzzle: Can you crack the code and open this lock?

Can you crack the number lock code? Use the provided clues to uncover the three-digit code in this c ...

How many moves are required to transport the balls !

Find out how many moves it takes to transfer balls from Tube I to Tube III while keeping their order ...