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Thanks!

 Oct 20, 2019
 #1
avatar+85 
+2

First, cut up the triangle into smaller triangles of the same size like so:

Then, find the fraction of the shaded triangles/all triangles: 

You will get an answer of 6/16, which simplifies to 3/8

 

Hope this helps! If I made a mistake please correct me :)

 Oct 20, 2019
 #2
avatar+107085 
+3

That looks pretty cool Milkcloud,  lets see if it I can validate it.

 

I let the perpendicular distance between each trapezium be 1 unit

 

The total area is   0.5*4a*4 = 8a units squared

 

The top triangle is     0.5*a*1 = 0.5a   units squared

 

The middle trapezium area is    (2a+3a)/2  *1 = 5a/2

 

The sum of the top triangle and the middle trapezium is     a/2  +    5a/2    = 3a

 

The fraction of the whole figure this is is        3a /  8a = 3/8

 

So it seems your method works very nicely Milkcloud.   laugh

 

 

 Oct 20, 2019
 #3
avatar+106539 
+2

Thanks, milkcloud and Melody......that method is very nice, milkcloud  !!!

 

 

cool cool cool

CPhill  Oct 21, 2019
 #4
avatar+85 
+1

@Melody @CPhill thanks :)

milkcloud  Oct 22, 2019

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