Dividing a 30-60-90 Triangle in FourDate: 08/07/99 at 12:07:01 From: Jessica Smith Subject: Dividing a 30-60-90 triangle I need to divide a 30-60-90 triangle into 4 triangles similar to the first triangle with each one having 1/4th of the area. I also need to find 4 different ways to divide it. I have found 2 ways as below, but I need to find 2 more ways and I am having a lot of trouble with it. |\ |\ | \ | \ | \ | \ | \ | \ | \ | \ | A \ | A \ | \ | \ |_______\ |_______\ | |\ | |\ | /| \ |\ | \ | B / | \ | \ B | \ | / | \ | \ | \ | / | \ | \ | \ | / C | D \ | C \ | D \ | / | \ | \ | \ |/______|_______\ |______\|_______\ Other than these two ways I can't figure it out. Thanks, Jessica Date: 08/07/99 at 17:41:22 From: Doctor Tom Subject: Re: dividing a 30-60-90 triangle Hi Jessica, You're almost there. Take a look at the two triangles labeled C and D on the bottom of your first figure. They form a 60-60-60 equilateral triangle, don't they? How many ways can you divide a 60-60-60 triangle into two 30-60-90 triangles? - Doctor Tom, The Math Forum http://mathforum.org/dr.math/ |
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