Q: What is a triangle with all angles the same size and all sides the same lengths?

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An equilateral triangle

They are of the same lengths

The scalene triangles are weird because they are defined by what they aren't. The inside angles of a scalene triangle are always all different. If all three angles are different, then the triangle is scalene, and all the sides are different lengths. Imagine two angles are the same. The triangle would then be an Isosceles triangle, which has two sides the same length. If all three angles are the same, it would be an equilateral triangle and all three sides would be the same length.

Yes providing the interior angles remain the same as for example a scalene triangle has unequal sides but it can be congruent to another scalene triangle that has the same sides and angles.

Scalene triangle - a triangle where none of the sides are the same length.Isosceles triangle - a triangle where two sides of the triangle, or the legs, are the same lengthEquilateral triangle - a triangle with all side lengths congruent and all included angles congruent

Related questions

An equilateral triangle

They are of the same lengths

In an equilateral triangle, all three sides are of the same length while in a scalene triangle, all three sides are of different lengths. The same applies to the angles.

The scalene triangles are weird because they are defined by what they aren't. The inside angles of a scalene triangle are always all different. If all three angles are different, then the triangle is scalene, and all the sides are different lengths. Imagine two angles are the same. The triangle would then be an Isosceles triangle, which has two sides the same length. If all three angles are the same, it would be an equilateral triangle and all three sides would be the same length.

Yes providing the interior angles remain the same as for example a scalene triangle has unequal sides but it can be congruent to another scalene triangle that has the same sides and angles.

Scalene triangle - a triangle where none of the sides are the same length.Isosceles triangle - a triangle where two sides of the triangle, or the legs, are the same lengthEquilateral triangle - a triangle with all side lengths congruent and all included angles congruent

No. triangle can have 3 sides all the same length and angle or it can have sides of differing lengths and angles. same for all other polygons.

An equilateral triangle has 3 sides of the same lengths.

The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.

An EQUILATERAL triangle has all three sides the same length. An ISOSCELES triangle has two sides with the same length. A SCALENE triangle has all three sides different lengths.

they aren't the same, equalateral means 60 degree angles and equal length on all sides. scalene has 3 different angles and side lengths that differ too.

An isosceles triangle has two sides and two angles that are the same.