The third angle of a right isosceles triangle is 90 degrees.Īs per the theorem, in an isosceles triangle, if two sides are congruent then the angles opposite to the two sides are also congruent.Īlternatively, if two angles are congruent in an isosceles triangle, then the sides opposite to them are also congruent.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.Hence, the measure of the other two angles of an isosceles triangle is 55°. If we are given the measure of an unequal angle, we can simply calculate the other two angles using the angle sum property.Įxample: Let the measure of the unequal angle is 70° and the other two equal angles measures x, then as per angle sum rule, As a result, one of the angles is unbalanced. Two of the isosceles triangle's three angles are equal in measure, which is the polar opposite of the equal sides. As a result, we may employ 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. Parts of a triangle Isosceles right triangleĪ right isosceles triangle has two equal sides, one of which serves as the perpendicular and the other as the triangle's base. If the two angles opposing the legs are equal and smaller than 90 degrees, the isosceles triangle is called an acute isosceles triangle. ![]() The isosceles triangle is classed as acute, right, or obtuse depending on the angle between the two legs. The perpendicular bisector of the base of every isosceles triangle has a symmetry axis. Legs, base, and height are the three dimensions of a triangle, as we all know. Types of Isosceles Triangle Isosceles acute triangle ![]() In general, the isosceles triangle may be divided into three types:
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