How are right triangles used in number theory?

A right triangle is triangle with an angle of 90 degrees ( pi/2 radians). The sides a , b , and c of such a triangle satisfy the Pythagorean theorem a^2+b^2=c^ ... There are three types of special right triangles. 30-60-90 triangles have side ratios of x , x 3 , 2 x . 45-45-90 triangles have side ratios of x , x , x 2 . Every triangle whose base is the diameter of a circle and whose apex lies on the circle is a right triangle, with the right angle at the apex and the hypotenuse ... Write two similarity statements for ΔABC: one for the smaller triangle created by the altitude, and one for the larger triangle created by the altitude. Enter the lengths of any two sides of a right triangle into the top boxes. The calculator will then determine the length of the remaining side, the area and ... For the Pythagorean Theorem, the legs are “ a ” and “ b ” and the hypotenuse is “ c ”. ... Pythagorean Theorem Converse: If the square of the longest side of a ... Mar 26, 2016 ... A right triangle has a right angle in it. But it can only have one right angle, because the total number of degrees in a triangle is 180. If ... Side lengths a , b , c form a right triangle if, and only if, they satisfy a² + b² = c² . We say these numbers form a Pythagorean triple. Pixel, Right Triangle. Precision patterns cut deep into the face of double layer felt reveal a pop of color beneath. This fresh take on soft architecture adds ... Sine, Cosine, and Tangent for Right Triangles · the sine of a non-right angle equals the length of the leg opposite that angle divided by the length of the ...