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
Yes - in the case of triangles in Euclidian geometry. That is, basically triangles in a plane.
Scalene triangles
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
Yes - in the case of triangles in Euclidian geometry. That is, basically triangles in a plane.
Scalene triangles
A quadrilateral has four sides. Triangles have three sides.
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
The centroid of a triangle is the point where its three medians intersect, which are the line segments connecting each vertex to the midpoint of the opposite side. It serves as the triangle's center of mass and divides each median into a ratio of 2:1, with the longer segment being closer to the vertex. The centroid is always located inside the triangle, regardless of the triangle's shape.
An altitude in a triangle is always perpendicular to the opposite side. By definition, an altitude is a line segment from a vertex to the line containing the opposite side, forming a right angle with that side. This property holds true for all types of triangles, including acute, right, and obtuse triangles.