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Classifying Triangles by Sides and Angles
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Classifying Triangles by Sides and Angles

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Questions and Answers

What is the classification of a triangle with a right angle?

  • Acute Triangle
  • Equilateral Triangle
  • Right Triangle (correct)
  • Obtuse Triangle
  • In an Isosceles Triangle, how many sides are equal?

  • One side
  • All sides
  • No sides
  • Two sides (correct)
  • Which type of triangle cannot have any equal sides?

  • Right Triangle
  • Scalene Triangle (correct)
  • Obtuse Triangle
  • Acute Triangle
  • What is the sum of the angles in a triangle?

    <p>$180$ degrees</p> Signup and view all the answers

    Which type of triangle can never be obtuse?

    <p>Equilateral Triangle</p> Signup and view all the answers

    Study Notes

    • Triangles are polygons with 3 sides and 3 angles, classified by sides and angles.
    • Triangles classified by angles: Right Triangle (right angle), Acute Triangle (acute angle), Obtuse Triangle (obtuse angle).
    • Triangles always have at least 2 acute angles, with the third angle determining the type.
    • Classifying by sides: Equilateral Triangle (3 equal sides), Isosceles Triangle (2 equal sides), Scalene Triangle (no equal sides).
    • Combining classifications, various combinations are possible (e.g., scalene can be right, acute, or obtuse).
    • Equilateral triangles are always acute due to all sides being equal and all angles being acute.
    • Triangle angles always add up to 180 degrees, aiding in solving geometry problems.
    • Knowing the sum of angles helps find unknown angles, by adding known angles and subtracting from 180 degrees.

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    Description

    Explore the classification of triangles based on both their sides and angles, including right, acute, obtuse, equilateral, isosceles, and scalene triangles. Understand how the sum of triangle angles always adds up to 180 degrees, aiding in solving geometry problems.

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