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Q: Is every equilateral triangle an isosceles triangle?
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Is every Isosceles Triangle an equilateral triangle?

NO but every Equilateral triangle is an Isosceles triangle. That is the difference . Isosceles triangles have only 2 sides the same length. Equilateral have ALL 3 sides the same length which means that they must have 2 sides the same length, so they are a very special case of an Isosceles triangle. That is why they have a special name - Equilateral meaning 'all sides equal'. The word lateral is a reference to the word length.


What is the contrapositive of the statement if it is an equilateral triangle then it is an isosceles triangle?

The contrapositive would be: If it is not an isosceles triangle then it is not an equilateral triangle.


Is every equilateral triangle isosceles?

There are two definitions of isosceles, one of which defines it as a triangle with exactly two equal sides, which excludes equilateral triangles. The other definition is a triangle with two or more equal sides and therefore is inclusive of equilateral triangles.


All isosceles triangles are also equilateral triangles?

No, all isosceles triangles are not equilateral triangles. An isosceles triangle is a triangle that has two sides of equal length. An equilateral triangle is a triangle that has all three sides of equal length. Therefore, it is possible for a triangle to be isosceles but not equilateral. For example, a triangle with sides of lengths 3, 3, and 4 is an isosceles triangle, but it is not an equilateral triangle because all its sides do not have the same length. On the other hand, all equilateral triangles are also isosceles triangles because they have two sides of equal length. My recommendation ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ᴅɪɢɪꜱᴛᴏʀᴇ24.ᴄᴏᴍ/ʀᴇᴅɪʀ/372576/ꜱᴀɪᴋɪʀᴀɴ21ᴍ/


Are all isosceles triangles also equilateral triangles?

No, not at all, all isosceles triangles aren't equilateral since an equilateral triangle is a triangle with all of its sides equal, i.e. all sides of an equilateral triangle are equal, but in an isosceles triangle only two of its sides are equal.