Geometry of sorts
- Thread starter lostmath
- Start date
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- Feb 4, 2004
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Work in an orderly fashion. You obviously have sixteen of the smallest triangles. How many triangles formed of four sub-triangles can you find? (Don't forget to count overlaps.) And so forth, working up to "1" for the biggest triangle.
Total the numbers of each sort of triangle, to get the answer for the exercise.
Eliz.
Total the numbers of each sort of triangle, to get the answer for the exercise.
Eliz.
Hello, lostmath!
It's close, but . . .
There are:
. . \(\displaystyle \begin{array}{cc}16\, & \,1\times1's\, \\ 6 & 2\times2's \\ 3 & 3\times3's \\ 1 & 4\times4's \\ \hline \\ 26\,& \,\text{Total }\end{array}\)
It's close, but . . .
Code:
*
/ \
*---*
/ \ / \
*---*---*
/ \ / \ / \
*---*---*---*
/ \ / \ / \ / \
*---*---*---*---*There are:
. . \(\displaystyle \begin{array}{cc}16\, & \,1\times1's\, \\ 6 & 2\times2's \\ 3 & 3\times3's \\ 1 & 4\times4's \\ \hline \\ 26\,& \,\text{Total }\end{array}\)
Thanks
thank you to all of you that helped, but my dad worked it out and found 27 and made me draw it out and work it like he did and i found 27 as well again thank you for all of your help...
p.s. there are 7 not 6 2X2's that i kept missing...
thank you to all of you that helped, but my dad worked it out and found 27 and made me draw it out and work it like he did and i found 27 as well again thank you for all of your help... p.s. there are 7 not 6 2X2's that i kept missing...