How many triangles are in this figure and how did you get your answer?

Question

go here to see the figure:

http://campus.udayton.edu/~mathclub/mathcontest/problems/triangle.gif

Answer 1

I count 27
the individual sections, the large overall triangle, and the ones that are 2 and 3 sections in height, and the one upside down

Answer 2

24

Answer 3

I can only find 24

there are 16 small triangles upside down and right side up

then if you put in 4 triangles in a triangle that makes 4 of them

then if you look at the sides and put in 9 small triangles you get 3 of those

then the one big one.

But that is all I can find. I dunno if that is all of them or not but it looks like it to me.

Answer 4

27

Answer 5

I counted 27....
there are 16 small ones
7 a little bigger (one upside down in the middle, 3 on the bottom, two on top of them and then one on top)
3 a little bigger (one minus the bottom row of the whole triangle and the two with 3 triangles width on the bottom)
and then the whole triangle

Answer 6

17

Answer 7

I Counted 37!!

I Counted Them Across First...
Then Counted Them Side Ways...
Then The Bigger Smaller Ones...
And Of course Got To Count The Big One!

Answer 8

I counted 23

Answer 9

I count 6 upside down triangles in one big triangle.

Answer 10

In suited attitude triangle ....... enable us to make our terminology slightly extra advantageous: The strains that make ninety degree attitude are (of direction) perpendicular to one yet another. enable they are ingredient A and ingredient B. anybody of them (A or B) is base and the different is altitude - the two superb. ingredient C is declared as Hypotenuse. The length-clever ratios of those 3 sided are (in all cases) : A² + B² = C² >>> Base² + Altitude² = Hypotenuse² In 30-60-ninety triangle .......... The smaller ingredient is strictly 0.5 of the Hypotenuse (in all cases). enable that is A. As such: A = ½C, A² + B² = C² (½C)² + B² = C² B² = C² - (½C)² B² = 3/4*C² B = ?(3/4*C²) B = ?(3/4) * C B = ?(3/4) * 2A B = ?(3/4*4) A B = ?3 * A The ratios (in easiest version): A : B : C = a million : ?3 : 2 ...............................