";s:4:"text";s:3960:" Two equal (congruent) sides; in ∆ABC, AB and AC are two congruent sides; One line of symmetry; The two angles opposite to the equal sides are equal (isosceles triangle base angle theorem). Move the vertices of the triangle around again. To mathematically prove this, we need to introduce a median line, a line constructed from an interior angle to the midpoint of the opposite side. Now We will Discuss the Properties of an Isosceles Triangle An Isosceles Triangle has the Following Properties: It has two sides of equal length. Definition: A triangle is isosceles if two of its sides are equal. Properties of Isosceles Triangles A B C \triangle ABC A B C is an isosceles triangle such that the lengths of A B ‾ \overline{AB} A B and A C ‾ \overline{AC} A C are equal. The unequal side is called the base. Enjoy a range of interesting triangle facts for kids and have fun learning about the 3-sided polygon. Properties of Isosceles Triangles. It has two equal angles, that is, the base angles. Basics of Triangles; Right-angled Triangle; Isosceles Triangles. An Isosceles Triangle has the following properties: Two sides are congruent to each other. Basic Properties Because angles opposite equal sides are themselves equal, an isosceles triangle has two equal angles (the ones opposite the two equal sides). No, matter where the apex or the peak points, it is still going to be an isosceles triangle. The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle. Does it remain isosceles? 2) Move any 1 (or more) of the vertices of this triangle around.