Pythagorean theorem
Right triangle relation
The Pythagorean theorem is the geometric principle that in a right triangle, the square of the longest side (the hypotenuse) equals the sum of the squares of the other two sides.
Expressed algebraically as a² + b² = c², it remains foundational in mathematics, construction, and navigation—any field requiring calculation of distances or angles.
Having a ninety-degree corner
- hypotenuseLongest right-triangle side
- legsLocomotion appendages below torso
- sidesLateral edges or teams
- vertexPoint where edges converge
acute · obtuse · isosceles · scalene · right-angle · angles · altitude · area
Space between two points
- navigationDetermining position and course
- surveyingMeasuring and charting terrain
- architectureBuilding design discipline
- constructionProcess of building something
carpentry · ladder · diagonal · coordinate · Cartesian · measuring · layout · engineering
Mathematical equality assertion
- squaresFour-sided equal figures
- sumAddition's result
- calculationMathematical problem-solving process
- square rootNumber times itself equals original
exponentiation · computation · algebraic · numeric · relationship · variables · substitution · solving
Public display of opinion
- EuclidFather of geometry
- deductionConclusion from premises
- geometricRelating to mathematical shapes
- algebraicRelating to variable mathematics
visual · rearrangement · similar triangles · axiomatic · rigorous · logic · proposition · corollary
Balkan peninsula nation
- EuclidFather of geometry
- AlexandriaEgyptian Mediterranean port
- ancientVery old indeed
- classicalOf ancient Greece/Rome
Hellenistic · Plato · Aristotle · mathematicians · philosophy · proposition · pre-Socratic · academy
French number theorist
- three-dimensionalHaving volume and depth
- generalizationDeriving principles from examples
- law of cosinesTriangle side-angle relation
- n-dimensionalHaving arbitrary spatial axes
Euclidean · non-Euclidean · spherical · hyperbolic · norm · metric
right-angled
Having a ninety-degree corner
- hypotenuseLongest right-triangle side
- legsLocomotion appendages below torso
- sidesLateral edges or teams
vertex · acute · obtuse · isosceles · scalene · right-angle · angles · altitude · area · perimeter
distance
Space between two points
- navigationDetermining position and course
- surveyingMeasuring and charting terrain
- architectureBuilding design discipline
construction · carpentry · ladder · diagonal · coordinate · Cartesian · measuring · layout · engineering · GPS
equation
Mathematical equality assertion
- squaresFour-sided equal figures
- sumAddition's result
- calculationMathematical problem-solving process
square root · exponentiation · computation · algebraic · numeric · relationship · variables · substitution · solving
demonstration
Public display of opinion
algebraic · visual · rearrangement · similar triangles · axiomatic · rigorous · logic · proposition · corollary · converse
Greece
Balkan peninsula nation
- EuclidFather of geometry
- AlexandriaEgyptian Mediterranean port
- ancientVery old indeed
classical · Hellenistic · Plato · Aristotle · mathematicians · philosophy · proposition · pre-Socratic · academy · knowledge
Fermat
French number theorist
- three-dimensionalHaving volume and depth
- generalizationDeriving principles from examples
- law of cosinesTriangle side-angle relation
n-dimensional · Euclidean · non-Euclidean · spherical · hyperbolic · norm · metric
- Formulaschemical formula, quadratic formula, empirical formula, area formula, volume formula
- Math Rulesdistributive property, commutative property, associative property, order of operations, product rule
- Geometry Theoremstriangle inequality
- mathaddition, subtraction, multiplication, division, algebra
- mathematicsalgebra, arithmetic, calculus, geometry, number
- Trianglestriangle, equilateral, isosceles, scalene, right triangle
theory, theorem, Pythagorean, theoretical, theorize, theoretically, Pythagoras, theorems