Each square coincides with a part of a triangle side. An acute triangle has three inscribed squares.An equilateral triangle has three sides of equal length and three equal angles of 60°. All equilateral triangles are acute triangles.In other words, all of the angles in an acute triangle are acute. Sam Edwards/Getty Images Acute Triangle DefinitionĪn acute triangle is defined as a triangle in which all of the angles are less than 90°. The smallest perimeter triangle with integer length sides is obtuse, with sides 2, 3, and 4.The Calabi triangle is the only non-equilateral triangle where the largest square fitting in the interior can be positioned in three different ways.To find the height of an obtuse triangle, you need to draw a line outside of the triangle down to its base (as opposed to an acute triangle, where the line is inside the triangle or a right angle where the line is a side).įor an obtuse triangle with angles A, B, and C: The area of any triangle is 1/2 the base multiplied by its height.One of the sides of this square coincides with a part of the longest side of the triangle. An obtuse triangle has only one inscribed square.An obtuse triangle may be either isosceles (two equal sides and two equal angles) or scalene (no equal sides or angles).The longest side of an obtuse triangle is the one opposite the obtuse angle vertex.It's impossible for a triangle to have more than one obtuse angle. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). Ivan De Sousa/EyeEm/Getty Images Obtuse Triangle DefinitionĪn obtuse triangle is one that has an angle greater than 90°.
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