Acute Triangle

An acute triangle has all its angles acute, meaning each angle is less than 90°.
an example of an acute triangle

In any triangle, the sum of the angles is always 180°.

In an acute triangle, all the internal angles are less than 90°.

An acute triangle can be scalene if all its sides are of different lengths, isosceles if it has two sides of equal length, or equilateral if all its sides are of equal length.

    Key Points

    Here are some important points about acute triangles:

    • Circumcenter
      The circumcenter of an acute triangle is located inside the triangle.
    • Orthocenter
      The orthocenter is always found inside an acute triangle.
      the orthocenter in an acute triangle
    • Centroid
      The centroid is also located inside the triangle.
    • Equilateral Triangle
      A special case of an acute triangle is the equilateral triangle, where all sides are equal and each angle is 60°.

    And so forth.

     

     
     

    Please feel free to point out any errors or typos, or share suggestions to improve these notes. English isn't my first language, so if you notice any mistakes, let me know, and I'll be sure to fix them.

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