Tuesday, February 24, 2009

Triangle Trio

There are three Triangles which has integer sides and whose perimeter is equal to the area. The only other information about them is they are not right triangles.

Can you find them ?

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5 Comments:

Anonymous Anonymous said...

well where am i supposed to look?

February 24, 2009 10:48 PM  
Anonymous Sam said...

Any three choices from the following will satisfy the set conditions:

6,25,29
7,15,20
9,10,17
48,88,376
50,206,752
80,632,824
128,554,982
150,768,874
156,420,960
160,184,680
188,196,640
384,523,885
520,576,952
576,696,776

where each number in a row corresponds to the side lengths of a triangle. This is not all of the possible combination because I assumed that each triangle's area is equal to the perimeter and when all sides are less than 1000.

I used Heron's Formula to compute the area and then compared it to the perimeter.

This was generated with a program I made.

February 24, 2009 11:35 PM  
Blogger Ragknot said...

A B C Per Area
7 20 15 42 42
9 10 17 36 36
25 29 6 60 60

February 24, 2009 11:38 PM  
Anonymous Windymiller said...

Hi, I've found one under the sink and another down the back of the sofa, but I've no idea where the third is.

Can you remember where you last had it, that may help.

Regards,

Windy

February 25, 2009 4:27 AM  
Anonymous Anonymous said...

i know!
they are....




triangles

March 3, 2009 6:03 PM  

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