Brain Teasers
Triangled
1,4,9,16,25 are all squared numbers.
?,?,?,?,? are all triangled numbers.
Fill in the blanks.
?,?,?,?,? are all triangled numbers.
Fill in the blanks.
Hint
If writing on paper use dots to help you.Answer
1,3,6,10,15Hide Hint Show Hint Hide Answer Show Answer
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Comments
This is cool but I dont understand the answer. Can someone fill me in?
the funda works as follows:
u have to add all the numbers one by the one--in groups of 2--so that the first 2 numbers and the total forms the 3 points of a triangle:
for e.g
begin with 1
1+2=3 (your first triangle where the first 2 numbers 1, 2 and their total 3 form the 3 edges of the triangle)
3 (the previous total)+3 (the next number)=6
6(the previous total)+4 (the next number)=10
10+5=15
and so on..............
u have to add all the numbers one by the one--in groups of 2--so that the first 2 numbers and the total forms the 3 points of a triangle:
for e.g
begin with 1
1+2=3 (your first triangle where the first 2 numbers 1, 2 and their total 3 form the 3 edges of the triangle)
3 (the previous total)+3 (the next number)=6
6(the previous total)+4 (the next number)=10
10+5=15
and so on..............
Personally I like the answer
.5,2,4.5,8,12.5
Which is derived from formulating area.
if you use basic square configurations as (i.e. 2x2 3x3) to figure out the are of a square you would use the same numbers in the formula for area of a triange which is 1/2 b x h or
1/2(1,2,3,etc) x 1,2,3,etc
.5,2,4.5,8,12.5
Which is derived from formulating area.
if you use basic square configurations as (i.e. 2x2 3x3) to figure out the are of a square you would use the same numbers in the formula for area of a triange which is 1/2 b x h or
1/2(1,2,3,etc) x 1,2,3,etc
I thought the numbers were referred to as "squares" because those would be the areas of a square with integer values, (a square with a side of 1 would have area 1, and so on), which is why cubes are to the third power, because that would be the volume of a cube with that side length. Therefore, the correct answer (for an equilateral triangle) could be (n^2)/(2*(2^(1/2))), where n is an integer. The values would be about .35, 1.41, 3.18, 5.66, 8.84. Just a thought
Clever!
I don't understand?
Hiss! As much as I can tell, the author is the only one using her definition of "triangled." The next closest use of the word would have had us list the first numbers that could be triangled. Bowling triangles 10 pins into 4 tiers. Snooker or billiards triangles 15 balls into 5 tiers.
The formula for the number of units in a rack of n tiers is n(n-1) / 2.
The formula for the number of units in a rack of n tiers is n(n-1) / 2.
mistyped
should be
n(n+1) / 2
should be
n(n+1) / 2
A visual
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15
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15
This one's just so stupid...
This is not a teaser. It's a badly worded definition. Square numbers and triangular numbers.
easy
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