One triangle is isometric to another triangle if it has the same size and shape. This means that it must have the same angles and side lengths as the other triangle.
Know MoreApplying an isometric transformation to a triangle produces a new triangle that is isometric to the first. The isometric transformations are translation, which moves the triangle to a new position in the graph, reflection, which flips the triangle across a line, and rotation, which turns the triangle around the origin of the graph. A triangle that is produced by one of these transformations retains the size and shape of the original.
Learn more about ShapesThe area of a triangle is found by multiplying one-half times its base times its height. According to Wolfram Mathworld, Beyer and Baker there are 110 formulas for the area of a triangle.
Full Answer >A triangle can never have any parallel lines because there must be three angles that add up to 180 degrees, which makes it impossible for the three sides to avoid intersecting. A parallel line can never intersect with another, and triangles must always have intersecting sides.
Full Answer >The median of a triangle is a line segment that extends from one vertex to the midpoint of the opposite side. Each triangle has three medians. The medians are concurrent, which means they intersect at a point inside the triangle called the centroid.
Full Answer >A three-dimensional shape that is made up of four triangles is called a tetrahedron. If it is a regular tetrahedron, then it contains four equilateral triangles as its faces. A regular tetrahedron is also a platonic solid.
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