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An isoceles triangle has at least two sides equal; an equilateral has three sides equal so it is also isoceles; and since all angles are acute it is also an acute traingle

Q: How is it possible for Acute Equilateral and Isosceles classifications be in the same triangle?

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Are isosceles triangle sometimes an equilateral triangle

It can be scalene or isosceles but not equilateral.

An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com

Not ... exactly. It would be closer to accurate to say that an equilateral triangle is a special case of the isosceles triangle.All equilateral triangles are (also) isosceles; but most isosceles triangles are not equilateral.

Isosceles has 2 equal sides, but an equilateral triangle, all of its sides are equal.

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NOPE!

Are isosceles triangle sometimes an equilateral triangle

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/

It can be scalene or isosceles but not equilateral.

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

No because an equilateral triangle has 3 equal sides but an isosceles triangle has only 2 equal sides

It is possible if neither of the angles in the triangle measures to 60 degrees

An isosceles triangle has at least two congruent sides. An equilateral triangle has three congruent sides. So, an equilateral triangle is a special case of isosceles triangles. Since the equilateral triangle has three congruent sides, it satisfies the conditions of isosceles triangle. So, equilateral triangles are always isosceles triangles. Source: www.icoachmath.com

An equilateral triangle has all sides measuring the same and an isosceles triangle has 2 sides congruent, so they are not the same. Every equilateral triangle is also an isosceles triangle, but not every isosceles triangle is an equilateral triangle. Isosceles = at least two equal sides Equilateral = three equal sides

Not ... exactly. It would be closer to accurate to say that an equilateral triangle is a special case of the isosceles triangle.All equilateral triangles are (also) isosceles; but most isosceles triangles are not equilateral.

Isosceles has 2 equal sides, but an equilateral triangle, all of its sides are equal.

No. An equilateral triangle is where all three sides of the triangle are equal. An isosceles triangle is where only two of the sides are equal.