Here's simply why:
2 isosceles triangles are not always similar. The common angle for an iso triangle is 45-45-90. Other isosceles triangles have angles 20-20-140, or 70-70-40, etc (2 angles are the same and all three add up to 180).
For equilateral triangles, they are always similar. All equalleral triangles have the angles 60-60-60, no matter what.
2006-06-05 13:42:53
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answer #1
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answered by Anonymous
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Similar in geometry means shaped exactly alike, although they may have different sizes. It doesn't mean "looks sort of close". Two triangles are similar if their three angles are the same.
Isosceles triangles have two sides of equal length. They can be really pointy or really squat, so long as they have two sides of equal length.
If you measure the angles inside a triangle, they always come out to be 180. If you draw some isoccles triangles with the base horizontal and the two equal sides going up, the two angles at the base will be equal to each other.
So - draw one with the two angles 85 degrees and the angle at the tip 10 degrees. That adds up to 180, but the triangle would be very tall and sharp.
Draw another with the two angles 10 degrees and the angle at the tip 160 degrees; it will be like an elephant stepped on it.
You could draw them with sides 1 inch, 1 foot, 6 inches - whatever length would fit. Two pointy ones would be similar as long as you kept the 10 - 85 - 85 angles the same. Two squatty ones would be the same a slong as you kept the 10 - 10 - 160 angles the same. The squatty one would never be similar to the pointy one.
You can'tmake pointy and squatty equilateral triangles. All three sides of an Equilateral triangle are the same length. and that means all three of the angles in an equilateral triangle will always be 60 degrees each, for a total of 180. Therefore, all equilateral triangles are similar.
2006-06-05 13:49:08
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answer #2
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answered by Texas Fats 2
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Two equilateral triagnles are ALWAYS similar. An equilateral triangle is a triangle where all sides are equal and all angles are equal- 60 degrees. So, even though the length of the sides of triangle 1 are different than the length of the sides of triangle 2, they will always be similar.
Isocoles traingles are triangles with 2 sides equal and the other not. This means that 2 of the interior angles will be equal. Thus, by SAS (side angle side) they would be similar, if and only if the sides (use the 2 that are equal), and the angle between them, are scaled down on the same factor. For example, if triangle 1 has a 50 degree interior angle and 4 inch sides, and triangle 2 has a 25 degree interior angle and 2 inch sides, then they would be similar. However, if the interior angle is greater than or less than 25 degrees then they would not be similar, provided the sides were 2 inches. This is because the scale down of the sides is not equal to the scale down of the angle.
I hope this helps. :)
2006-06-05 13:47:39
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answer #3
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answered by cnuswte 4
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well an isosceles has two equal sides and equilaterals will always have equal sides and with those two the angles will match up all the time i think. a triangle has three angle that add up to 180. maybe if you put one of your questions on here we can give you more help
2006-06-05 13:33:30
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answer #4
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answered by gsschulte 6
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no isosceles triangles just have to have 2 equal side but they aren't always the same size as another isosceles triangle.
and equilateral triangles have all equal sides but they also don't have to be the same size as another equilateral triangle!
hope this helps!
I don't really know im just guessing
but yes they are always similar(except for equilateral triangles because they have different sizes they can be) but not always congruent!
2006-06-05 13:32:46
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answer #5
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answered by Green Goblin 1
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They're always similar in that they have equal sides (equilateral) or one really long side, a short side and a medium side (isosceles). Beyond that, the lengths and sizes of the triangles can be very different.
2006-06-05 13:32:39
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answer #6
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answered by Anonymous
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They are the same because whatever length the side of an isosceles is, 2 of the sides will always be the same length and same goes for equilateral. All the corners have the same length. So, yes they are always similar.
2006-06-05 13:32:27
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answer #7
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answered by FleurDeLys 2
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equilateral tri r ALWAYS similar bc they have 3 EQUAL sides (angles r always 60 degrees).. on the other hand, isosceles tri r not always similar bc it only has 2 equal sides which forms an angle that makes the other side.. the angle can be a different degree each time, which makes the 3rd side different from ev every other iso. in that case many iso can be form but they r not always similar..
2006-06-05 13:52:06
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answer #8
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answered by heyheyhey 3
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isosceles- two equal sides
equilateral- all sides are equal, all equilateral triangles are similiar
an isosceles triangle could have sides 3, 3, 5 or 4,4,2 (not similiar)
2006-06-05 13:33:47
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answer #9
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answered by OHBuckeye 2
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first question:no
second question:no
first question: because similar is when two triangles add up to 90 degrees and isosceles can do that but not always
second question: because yes because theyre 90 degrees and similar is 90 well u get hte point hope i helped some!
2006-06-05 13:33:36
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answer #10
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answered by Brittany M 2
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