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Pythagorean Theorem & Basics of Triangles definitions

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  • Triangle
    A geometric figure with three sides and three angles, forming a closed shape.
  • Equilateral Triangle
    A three-sided shape where all sides have equal length, indicated by identical tick marks.
  • Isosceles Triangle
    A triangle with exactly two sides of equal length, often marked with two identical tick marks.
  • Scalene Triangle
    A triangle where all three sides have different lengths, with no tick marks indicating equality.
  • Acute Triangle
    A triangle in which all three angles are less than 90 degrees.
  • Obtuse Triangle
    A triangle with one angle greater than 90 degrees and the other two less than 90 degrees.
  • Right Triangle
    A triangle containing one angle exactly equal to 90 degrees, forming a corner.
  • Hypotenuse
    The longest side of a right triangle, usually diagonal, opposite the 90-degree angle.
  • Leg
    One of the two shorter sides of a right triangle that form the 90-degree angle.
  • Degree
    A unit for measuring angles, commonly used to express triangle angles.
  • Tick Mark
    A diagram symbol indicating equal side lengths in triangles.
  • Arc Symbol
    A curved mark in diagrams used to represent angles at triangle vertices.
  • Pythagorean Theorem
    A formula relating the three sides of a right triangle: sum of squares of legs equals square of hypotenuse.
  • Square Root
    A mathematical operation used to find the original value from its squared result, crucial in solving for triangle sides.
  • Angle Sum Property
    A rule stating that the total of all angles in any triangle is always 180 degrees.