We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
63
4
avatar

Thanks!

 Oct 20, 2019
 #1
avatar+64 
+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+105448 
+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+104638 
+2

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

 

 

cool cool cool

CPhill  Oct 21, 2019
 #4
avatar+64 
+1

@Melody @CPhill thanks :)

milkcloud  Oct 22, 2019

39 Online Users

avatar
avatar
avatar