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The World Of Triangles Triangles A triangle is a 3sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180°. Acute Triangles A triangle in which all three angles are less than 90°. Obtuse Triangles An obtuse triangle is a triangle in which one of the angles is greater than 90°. Right Triangles A right triangle is triangle with an angle of 90°. Scalene Triangles A triangle with three unequal sides. Isosceles Triangles An isosceles triangle is a triangle with (at least) two equal sides. Isosceles Triangle Theorem The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. Equilateral Triangles An equilateral triangle is a triangle with all three sides of equal length. Equiangular Triangles An equiangular triangle is a triangle which has three equal angles. Congruent Triangles Congruent triangles are triangles whose corresponding angles and sides are congruent. They are exactly the same size and shape. The Hypotenuse The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.