# What do the side lengths of a triangle add up to?

Triangles are very important shapes and are an integral part of geometry. These shapes are used extensively in architecture and are also considered one of the strongest shapes from the architectural point of view. They have many interesting properties.

## Answer: The sum of any two sides of a triangle is always greater than the third side.

Let's look at the explanation to have a better picture.

**Explanation: **

Let's take an example of a right-angled triangle.

Let the length of the sides be 7, 24, 25 (you can verify the lengths using the Pythagoras theorem)

Therefore, we can see that 7 + 24 > 25, 24 + 25 > 7, 7 + 25 > 24.

The sum of the two sides is greater than the third side, according to the triangle inequality theorem.

### Hence, the sum of any two sides of a triangle is always greater than the third side.

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