![]() ![]() Base angle - the angles adjacent to the base of the isosceles triangle these. Vertex angle - the angle opposite the base of the isosceles triangle. Base - the third side of the triangle that is not congruent to the other two. Per this definition, no isosceles triangle is equilateral, and no equilateral triangle is isosceles. Parts of an isosceles triangle Legs - the congruent sides of the triangle. Further, of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle that which has two of its sides alone equal, and a scalene triangle that which has its three sides unequal.Indeed, this is the definition given by Euclid himself!: Joel Reyes Noche notes that many primary school instructors define an isosceles triangle to be one with exactly two congruent sides. However, there are authors who give a different definition of isosceles triangles. Therefore, per this definition, every equilateral triangle must be isosceles. From the definitions, further deductions may be made.įor example, in the question above, we have the definition:ĭefinition: An isosceles triangle is a triangle with at least two congruent sides.Īn equilateral triangle has three congruent sides, and three is "at least" two. ![]() When one is trying to understand a mathematical idea presented by another, it is important to understand the presenter's definitions. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure. The words we use to describe mathematical ideas are a human invention, hence it is important to recognize that different humans might use the same word to describe different ideas, or different words to describe the same idea. An isosceles triangle is a type of triangle that has any two sides equal in length. The primary motivation behind this answer is to make more permanent some of the comments left in response to the question and other answers, as well as to incorporate some ideas from a now deleted answer. NB: I am presenting this answer as a frame challenge. ![]()
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