median
No, a triangle is not always half a square. While a right triangle can be considered half of a rectangle (which is a type of square), this is not true for all triangles. Triangles can have various shapes and sizes, independent of squares. Therefore, the relationship between triangles and squares is not universally applicable.
No. An isosceles right triangle is a special case. There are many right triangles which are not isosceles.
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
Scalene triangles
Yes - in the case of triangles in Euclidian geometry. That is, basically triangles in a plane.
90 degree triangles are always similar.
No, a triangle is not always half a square. While a right triangle can be considered half of a rectangle (which is a type of square), this is not true for all triangles. Triangles can have various shapes and sizes, independent of squares. Therefore, the relationship between triangles and squares is not universally applicable.
No. An isosceles right triangle is a special case. There are many right triangles which are not isosceles.
The three angles of a triangle are always equal to 180°, if not equal to 180° then it is not a triangle.
an equiangular triangle (and by definition, equilateral triangles are always equiangular too)
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
Scalene triangles
A quadrilateral has four sides. Triangles have three sides.
Yes - in the case of triangles in Euclidian geometry. That is, basically triangles in a plane.
for a triangle to be an isosceles triangle, two of its sides and its corresponding angle must be equal. all isosceles triangles have at least one line of symmetry
Nope sorry, a Rhombus will be split into 2 isosceles triangles and 1 equilateral triangle.
The sum of the internal angles of any triangle is always 180 degrees. It makes no difference what type of triangle; it is a fundamental truth of all triangles.