This relationship allows us to find the missing lengths using simple algebra given the length of either the hypotenuse or one of the congruent sides.įind the lengths of the missing sides of the 45-45-90 triangle below. The sides of a 45-45-90 triangle have the following relationship: Isosceles acute triangleĪn isosceles acute triangle is a triangle with 2 congruent sides and angles in which all the angles are acute.Īn isosceles obtuse triangle is a triangle with 2 congruent sides and angles in which the non-congruent angle is obtuse.Īn isosceles right triangle is a triangle with 2 congruent sides and angles in which the non-congruent angle measures 90°.īecause the sum of a triangle's interior angles is equal to 180°, the remaining two angles in an isosceles right triangle measure 45° (90 + 45 + 45 = 180°).Ī 45-45-90 triangle is a special type of right triangle. Also, all equilateral triangles are also classified as isosceles since they have 3 congruent sides and angles. Isosceles triangles can further be categorized as acute, obtuse, and right. Generally, triangles are categorized as acute, obtuse, right, isosceles, scalene, and equilateral. There are a few different types of isosceles triangles.
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