## Why Did The Similar Triangles Weigh Themselves?

Have you ever heard of the story of the two similar triangles, which a few years ago made headlines in newspapers around the world, who decided to weigh themselves? If not, here is the story!

The story takes place in a small cottage in the middle of nowhere. That night, two similar triangles awoke with an idea, to measure their mass by weighing themselves.

The triangles decided that the best way to determine the difference in their mass was by weighing themselves. But why did they choose such a task?

### Because The Understanding Of Their Volume Was Unclear

The two triangles understood that the volume of their two shapes was equal, as they were similar triangles, but the weight of each shape was unclear. They did not know if the two shapes had the same weight, due to their size and shape, so they decided to check.

### In Order To Find Out If They Had The Same Mass

The triangles knew that in order to find out if their mass was the same, they had to weigh themselves. In order to do that, they created a makeshift balance using two empty buckets and a plank of wood.

Then, they then placed one triangle in each bucket, carefully balancing the buckets until they achieved an even weight. After a few attempts, they managed to find out the exact weight of each triangle and determined that they had the same mass!

### What Can We Learn From The Triangles?

The two triangles teach us an important lesson – even if shapes may appear identical, there might be differences that can only be verified through experiment or calculation. We can use their example of weighing themselves in order to determine if two shapes have the same volume.

At the same time, the story of the two triangles is a reminder that we should never give up on any task, no matter how difficult it may seem, as long as we can find a way to achieve it.

Takeaway

The story of the two triangles shows us that:

**Shapes may appear identical but can have different volumes****Experimentation or calculation is sometimes necessary to verify similarities****Giving up is never an option**

### What happens when similar triangles weigh themselves?

Similar triangles cannot weigh themselves because they have the same physical dimensions and would therefore weigh the same amount.

The only way to determine if two triangles have the same mass is to measure them with a scale or other instrument.

If the two triangles are truly similar, then they will have the same mass.

### What are the characteristics of similar triangles?

1. All similar triangles have the same shape, but different sizes.

2. Corresponding angles in similar triangles are equal.

3. Corresponding sides in similar triangles are proportional.

4. The ratio of the areas of two similar triangles is equal to the square of the ratio of the corresponding sides.

5. All angles in similar triangles are equal in measure.

### What is the definition of similar triangles?

Similar triangles are two or more triangles that have the same shape but may be different sizes. The corresponding angles are congruent (equal in measure), and the corresponding sides are proportional.