Tuesday

September 2, 2014

September 2, 2014

Posted by **Roxane smith** on Sunday, September 11, 2011 at 7:25pm.

How can you divide a square number into q two triangular numbers?

(6 triangular number) and (9 sqaure)

- Math -
**MathMate**, Sunday, September 11, 2011 at 9:11pmSay represent 5² as a square:

OOOOO

OOOOO

OOOOO

OOOOO

OOOOO

and split it up into two triangles next to the diagonal:

O

OO

OOO

OOOO

OOOOO

and (it should be the mirror image)

OOOO

OOO

OO

O

So in general, for an n×n square, we can split it into the larger triangle of base n using n(n+1)/2 pebbles, and the smaller of side (n-1) using n(n-1)/2 pebbles.

The total:

n(n+1)/2+n(n-1)/2

=(n²+n +n²-n)/2

=n²

- Math -
**Roxane smith**, Sunday, September 11, 2011 at 10:54pmThanks :)

- Math -
**MathMate**, Sunday, September 11, 2011 at 11:28pmYou're welcome!

**Answer this Question**

**Related Questions**

Math PLEASE HELP ASAP - -PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT ...

math - The triangular numbers are the numbers 1, 3, 6, 10, 15, . . .; the square...

science - usually, which is younger, the pebbles in sand, or the sand ...

math - Tricia wants to create a path out of pebbles. She has 8 bags of pebbles ...

physics - Romeo is chucking pebbles gently up to juliet’s window, and he wants ...

Math - A magic square is a square of numbers with each row, column, and diagonal...

MATH - The triangular numbers are the numbers 1, 3, 6, 10, 15, . . .; the square...

Math - A magic square is a square of numbers with each row, column, and diagonal...

Math - Which numbers are perfect squares? A) 64 b)900 c)120 d)1000 e)100 F) 10 ...

7th grade math Ms.Sue please - 1. Which of these numbers can be classified as ...