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.
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Triangle numbers or triangular numbers are those numbers that can form an equilateral triangle when counting the objects. The first five triangular numbers are: 1, 3, 6, 10, 15.
To find the area of a triangle, you have to multiply the base of the triangle and the height of the triangle, then divide the product of those numbers by two.
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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.
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.