Editing Right triangle (section)

===Area===
As with any triangle, the area is equal to one half the base multiplied by the corresponding height. In a right triangle, if one leg is taken as the base then the other is height, so the area of a right triangle is one half the product of the two legs. As a formula the area <math>T</math> is
:<math>T=\tfrac{1}{2}ab</math>

where <math>a</math> and <math>b</math> are the legs of the triangle.

If the [[Incircle and excircles of a triangle|incircle]] is tangent to the hypotenuse <math>AB</math> at point <math>P,</math> then letting the [[semi-perimeter]] be <math>s = \tfrac12(a+b+c),</math> we have  <math>|PA| = s-a</math> and <math>|PB| = s-b,</math> and the area is given by
:<math>T= |PA| \cdot |PB| = (s-a)(s-b).</math>

This formula only applies to right triangles.<ref>Di Domenico, Angelo S., "A property of triangles involving area", ''[[Mathematical Gazette]]'' 87, July 2003, pp. 323–324.</ref>