Geometric puzzle - Sajha Mobile
SAJHA MOBILE
Geometric puzzle
Posts 13 · Viewed 6019 · Go to Last Post
born_to_rule
· Snapshot
Like · Likedby · 0

hey guys,

please help me here to solve this ....i have spend an hour staring at this puzzle trying to solve it, but without much conclusion....i even print it and cut it into the shapes and put it on top of each other, but i still cant think rationally how the area of square is left in the second one even after being the total area of both the triangle equal?

help me before i go crazy guys  


nepwanted
· Snapshot
Like · Liked by · 0

look at the 2nd dark green shape which is made of 5 boxes compared to the upper one of 4 boxes.

lm
· Snapshot
Like · Liked by · 0

this is a trick. Take out all the grid lines. Measure the areas of  red and dark green colors using a scale. Compare it to the 2nd picture you will get the answer.

tregor
· Snapshot
Like · Liked by · 0
ok guys,
let me try to explain this in geometric language.
the slope of the red triangle=p/b= 3/8= 0.375 and
the slope of the green triangle=p/b= 2/5= 0.4
which shows that the hypotenuse of the whole triangle is not a straight line 
(the slopes of individual hypotenuses being not equal)
now, if you place the triangle with greater slope in the bottom and the one with 
smaller slope on the top, it happens to occupy more space beacause of its 
convexity.....notice the small squares in the corner are shaded more in the second 
triangle.
the difference happens to be equal to 1 square unit.
bibas100
· Snapshot
Like · Liked by · 0
Tregor is to the point. It doesn't look obvious but if you look carefully, you can easily see that the slope line is not straight. It makes an angle at the point where the dark green color starts. You don't need to go on counting area as such...its simple.
born_to_rule
· Snapshot
Like · Liked by · 0

thanks Tregor, it does make sense now

at first glance, i didnt think it was this complicated ...my first guess was it was just a fool play

hey you saved my trip to karachi !

 

NepaliBhai
· Snapshot
Like · Liked by · 0
Line AB has slightly concave curvature where as line CD is straight line. This makes the difference in area. Please take a look at the picture.
Last edited: 09-Oct-07 07:16 PM

CopiCat
· Snapshot
Like · Liked by · 0

Tregor's logic is pretty much convincing.

However, where did he get the numbers from? He measured?

Last edited: 09-Oct-07 09:22 PM
tregor
· Snapshot
Like · Liked by · 0
no copicat,
i did not measure its just the number of small squares in the base and the height of the 
triangles.
 
 
tregor
· Snapshot
Like · Liked by · 0
nepalibhai,
CD is not a straight line either..please look at my previous post...
lightnup
· Snapshot
Like · Liked by · 0

I just kept on staring at the triangles to figure out if one was larger than the other. Then scaled the monitor to find the measurement of each sides: it seemed equal.

But when I created the triangles in computer using 12"x12" boxes as grids, and overlapping first triagle boundary to the second one, the difference seemed apparent. See the picture; the dotted line on second triangle is the boundary of the first triangle. The second triangle is bigger in space than the first triangle.

It's a good one. Its a visual trick.


axara
· Snapshot
Like · Liked by · 0
kya kya fursad chha ... wah wah...


_x
lightnup
· Snapshot
Like · Liked by · 0

Kaam garda gardai kaam kai software ma halera solution nikaleko ho.. Phursad ko kurai bhayena ni !

Please log in to reply to this post

You can also log in using your Facebook
View in Desktop
What people are reading
You might like these other discussions...
· Posts 11 · Viewed 1632
· Posts 4 · Viewed 709
· Posts 1 · Viewed 73
· Posts 1 · Viewed 76
· Posts 1 · Viewed 275
· Posts 3 · Viewed 4576
· Posts 1 · Viewed 165
· Posts 1 · Viewed 166
· Posts 6 · Viewed 2898
· Posts 1 · Viewed 498



Your Banner Here
Travel Partners
Travel House Nepal