![]() ![]() One difference between equilateral and isosceles triangle is pretty clear from the figure that in equilateral triangle all the sides are equal whereas in the isosceles triangle, any two sides from the three are equal. What is the difference between an isosceles triangle and an equilateral triangle?Īn equilateral triangle is the triangle in which all the sides are equal. In a scalene triangle, none of the sides are the same length. An isosceles triangle may be right, obtuse, or acute (see below). Types of Triangles by Length In an isosceles triangle, two sides are the same length. What is the difference between a isosceles triangle and a scalene triangle? 8 What are the rules of an isosceles triangle?.7 Does the scalene triangle have any equal sides?.4 Why is isosceles triangle not similar?.3 Are a scalene triangle and an isosceles triangle always similar?.2 What is the difference between an isosceles triangle and an equilateral triangle?.1 What is the difference between a isosceles triangle and a scalene triangle?.Once a vertex of the triangle has been chosen, there is only one possible line of symmetry for the triangle through that vertex, namely the one which goes through the midpoint of the opposite side. To see why there are no other lines of symmetry for these triangles, note that a line of symmetry must pass through a vertex of the triangle: if a line cuts the triangle into two polygons but does not pass through a vertex, then one of those polygons is a triangle and the other is a quadrilateral. Finally, the triangle with side lengths 3,5,5 has one line of symmetry through the vertex where the two sides of length 5 meet. The triangle with side lengths 2,4,5 cannot have any lines of symmetry as the side lengths are all different. For the triangle all of whose sides have length 3, a proper fold through any vertex can serve as a line of symmetry and so there are three possible lines. For the triangle with side lengths 4,4,3 the only possibility is to fold so the two sides of length 4 align, so the line of symmetry goes through the vertex where those two sides meet. When the two sides meeting at a vertex do have the same length, the line of symmetry through that vertex passes through the midpoint of the opposite side. The two sides meeting at that vertex must be the same length in order for there to be a line of symmetry. The lines of symmetry for the four triangles are indicated in the pictureĪ line of symmetry for a triangle must go through one vertex. A word has been added at the end of the solution about why there are not other lines of symmetries for these triangles: this has been inserted in case this topic comes up in a class discussion but the focus should be on identifying the proper lines of symmetry. With a chance to experiment with physical models of triangles, gaining spatial This task is intended for instruction, providing the students Helpful so that the students can fold them to find the lines. Forįinding the lines of symmetry, cut-out models of the four triangles would be Students an opportunity to recognize these distinguishing features of the different types of triangles before the technical language has been introduced. Lines of symmetry while an isosceles triangle has at least one line of symmetryĪnd an equilateral triangle has three lines of symmetry. The division of triangles into scalene, isosceles, and equilateral can be thought ![]()
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