Pythagoras vs Pythagoras Interactive

Pythagoras solves right triangles and turns a² + b² = c² into a complete geometry toolkit. Type what you know and every answer appears instantly, drawn to scale, with the formulas and clear step-by-step working. Wherever Pythagoras' theorem is used, the right triangle is highlighted so you can see exactly why. THEOREM • Solve a right triangle from two legs, the hypotenuse and a leg, an angle and the opposite side, an angle and the adjacent side, or the hypotenuse and an angle • See the classic proof picture: the squares a², b² and c² drawn on the sides with their areas • Check any three sides: right-angled, acute or obtuse, and Pythagorean triples AREA — 15 SHAPES • Square, rectangle, triangle from three sides (Heron), isosceles and equilateral triangles • Circle, semicircle, sector, ellipse and ring • Parallelogram, rhombus, trapezium, kite and any regular polygon • Area, perimeter, diagonals, heights, slant sides and more VOLUME — 13 SOLIDS IN 3D • Cube, cuboid, sphere, hemisphere, cylinder, cone and frustum • Square and rectangular pyramids, triangular prism, tetrahedron, hexagonal prism and capsule • Volume, surface area, slant heights, edges and diagonals • Shaded 3D models: drag to turn, pinch to zoom, see-through view PYTHAGORAS IN 3D • Space diagonal of a box and a cube, and the missing edge from a diagonal • Distance between two points in space • Height of a cone from its slant, height and slant of a pyramid from its edge • Longest rod in a cylinder, slice of a sphere, height of a tetrahedron • The spider-on-a-box puzzle: the shortest walk over the faces • Every right triangle used is tinted inside the solid with its right angle marked DESIGNED FOR iPHONE AND iPAD • Five themes — Pearl, Midnight, Penrose, Royal Gold and Sand — plus Auto for Light and Dark Mode • Units: mm, cm, m, km, in or ft, with areas and volumes to match • Degrees or radians, 0 to 4 decimal places • Landscape layout with the drawing beside the controls • Share any result with its working as text • A formula guide covering Pythagoras, SOH CAH TOA, areas, volumes and 3D distances PRIVATE BY DESIGN No account, no ads, no tracking and no internet connection needed. Everything stays on your device.

Eureka! An interactive illustration of the Pythagorean Theorem. Drag the legs of the right triangle and watch the three squares transform in real time. Every side shows its length, every square its area — in radical form when needed, so you'll see 2√2 rather than 2.828. Slide through a visual demonstration of Euclid's original proof from Book I of the Elements. Understand why the theorem is always true, not just what it claims.