![]() Read more: Quadrilateral Angle Sum PropertyĪccording to the isosceles triangle theorem, if two sides are congruent, then the angles opposite to the two sides are also congruent. The third angle of a right isosceles triangle is 90 degrees.From the midpoint of the base to the vertex (topmost) of an isosceles triangle, the height is measured.The angles opposing the triangle's two equal sides are always equal.As the two sides of this triangle are equal, the uneven side is referred to as the triangle's base.Some important propertoes of isosceles triangle are as follows: Hence, the measure of the other two angles of an isosceles triangle is 55°. Solved Example of Angles of Isosceles TriangleĮxample: Let the measure of the unequal angle is 70° and the other two equal angles measures x, then as per angle sum rule, The sum of three interior angles is equivalent to 180 degrees.The angles which are different from apex angles are equal in value.If we are given the measure of an unequal angle, we can calculate the other two angles using the angle sum property. As a result, one of the angles needs to be more balanced. Two of the isosceles triangle's three angles are equal in measure, which is the polar opposite of the equal sides. As a result, an isosceles obtuse triangle is one with two equal sides and an obtuse angle. The obtuse triangle can be a scalene triangle or an isosceles triangle, as we know. A triangle with more than two obtuse angles is also impossible to draw. Isosceles Obtuse Triangle is defined as a triangle with one of its angles larger than 90 degrees (right angle). Assume the sides of the right isosceles triangle are a, a, and h, with a representing the two equal sides and h representing the hypotenuse. ![]() As a result, we may use Pythagoras theorem, which states that the square of the hypotenuse equals the sum of the squares of the base and perpendicular. The hypotenuse is the third unequal side of the triangle. Isosceles Right Triangle has two equal sides, one of which serves as the perpendicular and the other as the triangle's base. Types of Isosceles Triangle Isosceles Right Triangle The perpendicular bisector of the base of every isosceles triangle has a symmetry axis. The two sides which are opposite to these angles are also equal. Isosceles Acute Triangle is a type of triangle in which two angles opposing the legs are equal and smaller than 90 degrees. In general, the isosceles triangle may be divided into three types: Isosceles Acute Triangle
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