A triangle is isosceles if its angles are of the same measure. A triangle is isosceles if its base and height are of the same length.ģ. A triangle is isosceles if two of its sides are of the same length.Ģ. Miscellaneous Examples on Isosceles Trianglesġ. The area of an isosceles triangle is half the base times the height. The height of an isosceles triangle is the length of its perpendicular bisector. Sometimes it is specified as having exactly two sides of. Height and Area of an Isosceles Triangle Formula License: In geometry, an isosceles triangle is a triangle that has two sides of equal length. The height of an isosceles triangle is the length of the line segment from the base to the apex. Because angles opposite equal sides are themselves equal, an isosceles triangle has two equal angles (the ones opposite the two equal. An isosceles triangle definition states it as a polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of. The base angles of an isosceles triangle are also equal. Directions: 1) Click on the red checkbox to illustrate this.
In an isosceles triangle, the length of the two equal sides are the same. Definition: An ISOSCELES TRIANGLE is a triangle that has AT LEAST 1 PAIR OF CONGRUENT SIDES. Few More Properties of Isosceles Triangle Connect the points where the altitude, bisectors, and base angles intersect. Two examples are given in the figure below. Draw the bisector of the other base angle.ĥ. The definition of an isosceles triangle is that two of its sides have equal lengths the case where all three sides have equal lengths is not excluded. An isosceles triangle is a triangle that has at least two sides of equal length. Draw the altitude from the base to the opposite vertex.Ĥ. Draw an isosceles triangle with two equal sides of length. Meaning, pronunciation, picture, example sentences, grammar, usage notes. In this example, a = 3 and b = 4, so the perimeter is 2a + b = 2(3) + 4 = 10. Definition of isosceles-triangle noun in Oxford Advanced Learners Dictionary. Perimeter of an isosceles triangle is calculated by adding the length of both of its equal sides. The area of an isosceles triangle is equal to the base multiplied by the height. The triangle is isosceles if and only if the base and height are equal. The angles opposite the base and the height are both equal.ģ. Per this definition, no isosceles triangle is equilateral, and no equilateral triangle is isosceles.2. 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. An equilateral triangle is, however, a special case of an isosceles triangle, having all three sided equal. In original usage, an isosceles triangle was understood to have the third side unequal to the other two, that is, an isosceles triangle has exactly two equal sides. Therefore, per this definition, every equilateral triangle must be isosceles. A triangle having at least two sides equal.
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.
The two sides are called the legs and the third side. When one is trying to understand a mathematical idea presented by another, it is important to understand the presenter's definitions. Definitions: An isosceles triangle is a triangle having at least two congruent (of equal length) sides. Triangle Lesson for Kids: Definition & Facts 3:06 2-D Shapes: Lesson for Kids. 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 has two sides that are the same length and one side that is a different 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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