chitti Posted May 7, 2017 Share Posted May 7, 2017 Triangle Area Above is a set of dots in a 5 by 5 array. You can make a triangle by connecting any three of these dots. How many triangles can you make that have an area equal to the triangle to the left? The distance vertically and horizontally is one unit (do not use inches or cm). A triangle in a different location is considered a different triangle. Hints: Organize by Triangle type: 1. the original triangle, just moved2. triangles with a base of 13. triangles with a base of 34. Cut the original triangle in half (cutting the smallest side in half). Imagine a hinge on this half of the small side that can flip half of the triangle around so that it creates a very long skinny triangle. Find all of these triangles. Quote Link to comment Share on other sites More sharing options...

AmandaVT Posted May 7, 2017 Share Posted May 7, 2017 Are you looking for help with how to teach your child/student to solve the problem? Your post isn't clear what kind of help you're looking for. 1 Quote Link to comment Share on other sites More sharing options...

daijobu Posted May 8, 2017 Share Posted May 8, 2017 Do you see that the area of the isosceles triangle is 3/2? Using the pythagorean theorem, you can find that the base has length sqrt(2) and the 2 legs have length sqrt(5), which makes the height = 3*sqrt(2)/2. So triangles with base=3 and height=1 will have area=3/2. So will triangles with base=1 and height=3. The triangle described in option 4 has base=3*sqrt(2) and height=sqrt(2)/2. Where did you find this problem? 1 Quote Link to comment Share on other sites More sharing options...

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