An equilateral triangle is ______________ an isosceles triangle.??? sometimes,never,always?? please help?

Question

An equilateral triangle is ______________ an isosceles triangle.

Sometimes
Always
Never

thanks

Answer 1

ALWAYS ...

To qualify as an isosceles, you must have two sides equal.
To qualify as an equilateral, you must have three sides equal.

Just because you have more than what you need, doesn't mean you aren't that too.

Answer 2

An isosceles triangle is any triangle with 2 sides that are equal in length. So every equilateral triangle is a special case of an isosceles triangle since not just 2 sides are equal, but all 3 are. But every isosceles triangle is not equilateral, because you can have 2 sides of equal length and a third side that is either longer or shorter than those 2 sides. For example, if the triangle is a right-angle triangle and the two sides that meet to make the right angle are the same length, then the 3rd side would be longer than those two. Hope that helps.

Answer 3

I think the answer would be always, because an equilateral triangle has 3 equal sides and an isosceles triangle has 2 equal sides.

But I don't know if the definition of an isosceles triangle say only 2 equal sides or just at least 2 equal sides?

More: According to this article http://en.wikipedia.org/wiki/Isosceles_triangle

The answer is always..

Answer 4

An isosceles triangle is a triangle with (at least) two equal sides. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg).

A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal. Another special case of an isosceles triangle is the isosceles right triangle

Answer 5

An equilateral triangle has 3 equal sides while an isosceles triangle has 2.

So, by that definition alone, an equilateral triangle is always an isosceles triangle with the 3rd side happens to be of the same length as the other 2.

However, an isosceles triangle is never an equilateral triangle.

Answer 6

An equilateral triangle is always an isosceles triangle and an isosceles triangle is sometimes an equilateral triangle. The second assertion must be true if the first is true - if all equaliteral triangles are isosceles then it follows that some isosceles triangles must be equilateral!

Answer 7

Always
An isosceles triangle must have at least 2 equivalent sides.
While an equlateral triangle has 3 equal sides.
Therefore, a equilateral triangle could be isoceles, but an isoceles triangle cannot be an equlateral triangle.

Answer 8

always
Equilateral -3 sides equal. So definitly 2 sides are equal
isosceles - 2 sides equal.

it is never the other way around.
An isosceles traiangle is never an equilateral triangle.

Answer 9

As you can see, the matter hinges on whether an isosceles triangle has EXACTLY ONLY two sides equal, or whether it may have its third side equal also. Since this is merely a matter of definition, and you might be able to find definitions that disagree, the question is merely tricky. There is no point to it.

Who cares what the exact definition of an isosceles triangle is? We know that it has two sides equal. We know that an equilateral triangle has three sides equal. That's all we have to know.

Answer 10

An equilateral triangle is _ALWAYS____ an isosceles triangle.