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BRAINTEASER: Triangulation

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  • Author
Here is a graph to help visualize it. (Hope I did this right :D)

 

The blue line passes through the points (1,1), (2,2), (3,3) etc. This means that every point below the blue line represents where x > y. Amd every point above the blue line represents where x

 

I plotted the triangle using the 3 points of this problem. The yellow area is where x y.

 

.

 

 

 

 

The graph is perfectly drawn. The ratio of the area of the small triangle to the area of the big triangle will reveal the answer.

Here is a graph to help visualize it. (Hope I did this right :D)

 

The blue line passes through the points (1,1), (2,2), (3,3) etc. This means that every point below the blue line represents where x > y. Amd every point above the blue line represents where x

 

I plotted the triangle using the 3 points of this problem. The yellow area is where x y.

 

.

 

I had worked it out this way initially, then got off track somehow.

I'm using some 11th grade Trig. ;)

I made a math error in my earlier guess.

 

So now I have to change my answer to 1 in 10

  • Author
I made a math error in my earlier guess.

 

So now I have to change my answer to 1 in 10

 

 

BINGO!!!

I wonder where my Trig failed me. :cry:

I wonder where my Trig failed me. :cry:

 

I'd guess about 25 years ago. :lol:

I'd guess about 25 years ago. :lol:

Actually, there may be some argument as to who failed whom. :sssh:

I used the formula; a = .5(bh) to find the area of the triangles, where

 

a=area

b=base

h=height

 

The area of the big triangle = 3. The base was 2 and height was 3, so area = .5(2x3) = .5(6) = 3.

 

The are of the small triangle = .3. The base was 1 and height was .6, so area = .5(1x.6) = .5(.6) = .3

 

If the area of the small triangle was .3 and the area of the big triangle was 3, then the probability of randomly plotting a point in the small triangle (where x > y) was 1 in 10 or 10%.

I'd try to explain how I came up with my answer; but there's a good chance I'd blow a fuse in my head somewhere. :creepy:

  • Author
I used the formula; a = .5(bh) to find the area of the triangles, where

 

a=area

b=base

h=height

 

The area of the big triangle = 3. The base was 2 and height was 3, so area = .5(2x3) = .5(6) = 3.

 

The are of the small triangle = .3. The base was 1 and height was .6, so area = .5(1x.6) = .5(.6) = .3

 

If the area of the small triangle was .3 and the area of the big triangle was 3, then the probability of randomly plotting a point in the small triangle (where x > y) was 1 in 10 or 10%.

 

 

 

beautifully done.

I used the formula; a = .5(bh) to find the area of the triangles, where

 

a=area

b=base

h=height

 

The area of the big triangle = 3. The base was 2 and height was 3, so area = .5(2x3) = .5(6) = 3.

 

The are of the small triangle = .3. The base was 1 and height was .6, so area = .5(1x.6) = .5(.6) = .3

 

If the area of the small triangle was .3 and the area of the big triangle was 3, then the probability of randomly plotting a point in the small triangle (where x > y) was 1 in 10 or 10%.

 

Nice:ylsuper:

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