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Because they can be arranged in triangles. Think of a set of Bowling pins. 1 in front, 2 behind that, 3 behind that, 4 behind that

1, 3, 6 and 10 are the first four triangle numbers.

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Q: Why are the numbers called triangle number?
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Related questions

Can 100 be a triangle number?

No. Triangle numbers are a fixed set of numbers that can't be altered to make one certain number turn into a triangle number.


What does triangular number mean?

Triangluar numbers or triangle numbers are numbers formed from the summation of all the numbers smaller than them. The first few triangle numbers are 1,3,6,10,15,21... If you think of a pyramid with a base of two blocks, and one on top, there are three blocks. If you add a base of three to that pyramid, you have six blocks. Then ten, and fifteen and so on. That is why they are called Triangle numbers.


Is 145 a triangle number?

No. The closest triangle numbers to 145 are 136 and 153.


What is the triangle number out of all the prime numbers?

3


What is the scale factor used to dilate from small to big triangle?

You need numbers from the sides of the triangles. Take numbers from the corresponding (matching) sides, one number from the small triangle, and one number from the big triangle. Then divide the big number by the small number. The answer is the scale factor. Put another way, the scale factor is the number that multiplies the small triangle to create the large triangle.


What is the sum of side lengths of a triangle?

That number is called the "perimeter" of the triangle.


Can 859 make a triangle?

No 859 is a number, to make a triangle you need to join up lines not numbers.


Why is 10 called a triangular number?

A triangular number or triangle number counts the objects that can form an equilateral triangle. 10 objects can be formed into an equilateral triangle.


What is the sum of the numbers from 1 to 1000?

These numbers added together make the 1000th triangle number, which is 500,500.


What numbers make a triangle?

Oh, dude, a triangle is a polygon with three sides, so technically any three numbers can make a triangle as long as the sum of any two sides is greater than the third side. It's like that awkward third wheel situation but with numbers. So, as long as the numbers play nice and follow the rules, you've got yourself a triangle.


How many odd numbers are in the 100th row of Pascals triangle?

The number of odd numbers in the Nth row of Pascal's triangle is equal to 2^n, where n is the number of 1's in the binary form of the N. In this case, 100 in binary is 1100100, so there are 8 odd numbers in the 100th row of Pascal's triangle.


Why did blaise pascal important contribution?

Blaise Pascal invented the Pascaline and Pascal's Triangle. Pascal's Triangle was a triangle, which started of with 1. The number underneath is worked out by adding the two numbers above it together. Using Pascal's Triangle, we can find many patterns, including Triangle Numbers.