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Classification of Triangles (On the Basis of Sides, and of Angles) - Acute Angled Triangle

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definition

Acute Angled Triangle: An acute triangle is defined as a triangle in which all of the angles are less than 90°.

notes

Acute Angled Triangle:

  • An acute triangle is defined as a triangle in which all of the angles are less than 90°. In other words, all of the angles in an acute triangle are acute.

                                 

Properties of Acute Triangles:

  • All equilateral triangles are acute triangles. An equilateral triangle has three sides of equal length and three equal angles of 60°.
  • Acute triangles can be isosceles, equilateral, or scalene.
  • The longest side of an acute triangle is opposite the largest angle. The greater the measure of an angle opposite side, the longer the side. Conversely, the longer the side the greater the measure of the opposing angle.
  • The orthocenter is the point where all three altitudes of the triangle intersect. The orthocenter for an acute triangle is located inside of the triangle.
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