Right Triangles Formulas

Right Triangle Formulas, Pythagoras, Cathetus, Hypotenuse, Altitude, Projection, Inradius, Circumradius, Exradius, Semiperimeter, Area, Special Right Triangles, Poncelet, 3-D, Coordinate

PYTHAGOREAN THEOREM, GEOMETRIC MEAN, PRODUCT OF THE CATHETUS, ALTITUDE, PROJECTION:
Proofs that use similarity.

 

Pythagoras Formulas 

SPECIAL RIGHT TRIANGLES: Isosceles 45-45, 30-60, 37-53 (3-4-5)

 

Special Right Triangles 45, 30, 60,37,53 degrees

 

CENTERS, INRADIUS, CIRCUMRADIUS, INCENTER, CIRCUMCENTER, ORTHOCENTER, CENTROID, PONCELET'S THEOREM, SAGITTA.

Sagitta: The distance between the midpoint of an arc and the midpoint of its chord.

 

Right Triangle Formulas
 

RIGHT TRIANGLE: INRADIUS, EXRADII, SEMIPERIMETER (s), CATHETUS AND HYPOTENUSE, AREA.

 

Right triangle formulas
 

 

RIGHT TRIANGLE: ORTHOGONAL PROJECTIONS

 

Right triangle, projection facts
 

 

RIGHT TRIANGLE: ALTITUDE, INRADII, INCENTER, AREAS.

 

Right triangle, altitude facts
 

 

PYTHAGOREAN THEOREM: DIAGONAL OF A BOX

 

Pythagorean theorem: Diagonal of a box

 

DISTANCE IN CARTESIAN COORDINATE:

The Pythagorean Theorem provides an easy way to compute the straight line distance between any two points whose Cartesian coordinates are known.

 

Pythagoras in cartesian coordinate 

 

 

PYTHAGOREAN THEOREM IN THREE DIMENSIONS 3-D, De Gua's Theorem: In any tetrahedron with a cubic vertex O-ABC the square of the area of the face opposite the cubic vertex O-ABC is equal to the sum of the squares of the areas of the other three faces AOB, AOC, BOC.

 

Pythagoras theorem 3-D

 

THE PYTHAGOREAN CURIOSITY: Triangles and squares, fifteen conclusions.

 

Pythagoras curiosity. Online tutoring.

 

THE GENERAL EXTENSION TO PYTHAGORAS' THEOREM: If any 3 similar shapes are drawn on the sides of a right triangle, then the area of the shape on the hypotenuse equals the sum of the areas on the other two sides.

 

Pythagoras Theorem Extension
 

HomeGeometry | Pythagoras | Email | By Antonio Gutierrez