Is math the language of the universe?

Mathematics is the language of the universe, and in learning this language, you are opening yourself up the core mechanisms by which the cosmos operates. It is the same as traveling to a new land, and slowly picking up on the native language so that you may begin to learn from them.

Why is the triangle inequality theorem true?

You can use this exact same process to deduce that this inequality holds for each of the sides of the triangle. In other words, this is the triangle inequality theorem: the length of any side of a triangle must be shorter than the lengths of the other two sides combined. Thus, we’ve shown why this inequality is true!

Does the universe speak to us?

Yet the universe actually speaks to us all the time, offering us the very messages and signs we beg and pray for. It’s just hard to always recognize its voice or understand the language. Like decoding dreams, we get overwhelmed, distracted by details and miss the bigger meaning. And sometimes, we simply don’t listen.

Is triangle inequality always true?

The triangle inequality states that: For any triangle the length of any two sides of the triangle must be equal to or greater than the third side. Sometimes seen as: |X+Y|≤|X|+|Y| The inequality works not only if X and Y are both real numbers (scalars), but also if X and Y are vectors (of the same dimension).

What is inequality theorem?

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. In other words, as soon as you know that the sum of 2 sides is less than (or equal to) the measure of a third side, then you know that the sides do not make up a triangle.

How can you apply the triangle inequality in real life?

In real life, civil engineers use the triangle inequality theorem since their area of work deals with surveying, transportation, and urban planning. The triangle inequality theorem helps them to calculate the unknown lengths and have a rough estimate of various dimensions.