The Pythagorean Theorem states: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle)." Some functions are limited now because setting of JAVASCRIPT of the browser is OFF. A median is a line which joins a vertex of a triangle to the midpoint of the opposite side. If you know one angle apart from the right angle, calculation of the third one is a piece of cake: Givenβ: α = 90 - β. Givenα: β = 90 - α. The name hypotenuse is given to the longest edge in a right-angled triangle. Step #3: Enter the two known lengths of the right triangle. About this page: Triangle and area of a triangle calculator The calculator uses the Sine Law [ a ⁄ sin α = b ⁄ sin β = c ⁄ sin γ] to calculate the second angle of a triangle when two sides and an angle opposite one of them are given.Then, the calculator uses the projection rule to calculate the third side of a triangle: c = a cos β + b cos α. Given the sizes of the 3 sides you can calculate the sizes of all 3 angles in the triangle. Rule 2: Sides of Triangle -- Triangle Inequality Theorem : This theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the third side. Also, the converse theorem exists, stating that if two angles of a triangle are congruent, then the sides opposite those angles are congruent. Whether you have three sides of a triangle given, two sides and an angle or just two angles, this tool is a solution to your geometry problems. 3. 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