trianglenumber

noun
UK /ˈtraɪæŋɡəl ˈnʌmbə/
US /ˈtraɪæŋɡəl ˈnʌmbər/

A triangle number is a number you can make by arranging dots into a triangle shape.

Ten is a triangle number because you can arrange ten dots in a triangle with four rows.


OTHER MEANINGS

2. A number in the sequence 1, 3, 6, 10, 15, ... formed by adding consecutive counting numbers.

The first five triangle numbers are 1, 3, 6, 10, and 15.

3. A number that equals the sum of the first n natural numbers.

Twenty-one is a triangle number because it is the sum of 1 through 6.

4. A number that can be represented by a triangular array of points.

The teacher showed that 28 is a triangle number by drawing a triangle of dots.