Examples for

Polygons

A polygon is a plane geometric figure consisting of at least three vertices (or corners) and edges connecting them into a closing loop. It can also refer to the closed region bounded by the edges, so a polygon can have geometric properties associated with area. Wolfram|Alpha has the ability to recognize several flexible input forms for multiple types of polygons and to compute their properties, including diameter, perimeter, interior angle, etc.

Triangles

Compute one specific property or multiple properties given a triangle.

Compute properties of a triangle:

5, 12, 13 triangle

triangle with vertices (0,0), (3,4), (4,3)

isosceles right triangle with area 1

Specify side-angle-side:

SAS 3 60deg 4

Compute the area of a triangle:

area of an equilateral triangle with side length a

Find the nine-point circle for a given triangle:

nine point circle of triangle (1,1)(2,4)(3,3)