Does a triangle, integer sides, none parallel to axes, and with integer vertices exist?
回答 (6)
2009-12-29 1:23 pm
✔ 最佳答案
A triangle can be oriented with respect to the axes in any manner !Triangles do NOT have integer vertices ! Vertices mark the angles of a triangle.
Your language needs work.
QED
2009-12-29 10:46 pm
Yes.
The triangle with vertices (0, 0), (3, 4), (21, -20) has sides 5, 29, 30 and area 72.
The triangle with vertices (0, 0), (9, 12), (16, -12) has sides 15, 20, 25 and area 150.
The second is a right triangle, the first is not.
The triangle with vertices (0, 0), (3, 4), (21, -20) has sides 5, 29, 30 and area 72.
The triangle with vertices (0, 0), (9, 12), (16, -12) has sides 15, 20, 25 and area 150.
The second is a right triangle, the first is not.
2009-12-29 9:26 pm
in order for pythagorean theorem to be necessary, a triangle must have a right angle..and integer is simply a natural number. Is this a trick question? If not, then its a miracle i passed geometry with a 97%. Can you please message me and explain the solution to me? Haha, this is gonna keep me up all day trying to figure it out!
2009-12-29 9:28 pm
Yessssssssssssssssss
2009-12-29 9:22 pm
Of course originally, you ought to adopt any diverse sides
2009-12-29 9:21 pm
Just find a triangle with the Pythagorean Theorem with 3 sides. Each side is in a different triangle with Pythagorean Theorem than to the original one.
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