right-angled triangle

Ninety-degree polygon shape

A right-angled triangle has one angle of exactly 90 degrees—a right angle.

The side opposite the right angle is the hypotenuse, always the longest side.

The Pythagorean theorem describes the relationship between its sides: the square of the hypotenuse equals the sum of the squares of the other two sides.

Also called a right triangle.

geometry

hypotenuse

Longest right-triangle side

isosceles · scalene · congruent · similar · altitude · median · bisector · circumcircle · area · perimeter

Pythagorean

theorem

Demonstrated logical conclusion

Euclidean · square · diagonal · triples · Fermat · converse

trigonometry

sine

Opposite over hypotenuse

adjacent · hypotenuse · secant · cosecant · cotangent · ratio · inverse · arcsin · arccos · arctan

construction

set square

Tool for drawing angles

drafting · carpenter's square · framing square · technical drawing · ruler · T-square · architect · blueprint · CAD

applications

surveying

Measuring and charting terrain

ramp · ladder · architecture · engineering · slope · grade · GPS

Opposites
angle type

right-angled triangleobtuse triangle

Triangle with angle over ninety

acute triangle

angle uniformity

right-angled triangleequilateral triangle

Three-sided figure, sides identical

Family

right, angle, triangle, rightly, rightness, rightful, rightfully, rights, angled

Familiarity
Top 500,000
Profile
Known to kids · Used worldwide · Timeless · Concrete · Everyday, not technical · Rated G