Blaise Pascal published the workings of a triangular array showing the relationship between binary coefficients in said triangle. For instance:
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|.......................................1.........................................|
|..................................1........1....................................|
|..............................1.......2........1...............................|
|..........................1......3........3.......1...........................|
|......................1......4.......6.......4......1........................|
|...................1......5.....10....10......5......1...................|
|...............1......6.....15....20.....15.....6.....1...............|
|_________________________________________|
Each number in the above triangle is the sum of the two numbers right about it.
For example, 20 is the sum of 10 and 10, and 2 is the sum of 1 and 1.
to find out the coefficent for binomial expression, to check values like nCr
Obtuse Triangle
Yes
An EQUILATERAL Triangle. Two lines of symmetry is ISOSCELES Triangle No lines of symmetyry is SCALENE Triangle.
An equilateral triangle can also be called a "regular" triangle
Pascal's triangle
pascal
The Sierpinski Triangle
pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin
Pascal didn't invent pascals triangle, he just made It popular. A Chinese mathematician invented it in about 1015.
in the 11th century...
Blaise Pascal.
(a+b)7
1,4,6,4,1
35
The expanded binomial is another name for Pascal's triangle.
depends. If you start Pascals triangle with (1) or (1,1). The fifth row with then either be (1,4,6,4,1) or (1,5,10,10,5,1). The sums of which are respectively 16 and 32.