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# Help with Geometry

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4 Thanks!

Oct 20, 2019

#1
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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
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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.  Oct 20, 2019
#3
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Thanks, milkcloud and Melody......that method is very nice, milkcloud  !!!   CPhill  Oct 21, 2019
#4
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@Melody @CPhill thanks :)

milkcloud  Oct 22, 2019