Unlock the secrets of geometry with our Special Right Triangles Calculator. Easily determine the unknown side lengths of 45-45-90 and 30-60-90 triangles. Perfect for students, teachers, and professionals needing quick, accurate calculations for hypotenuses and legs. Simplify complex geometric problems now!
Formula:
Special Right Triangle Ratios
This calculator utilizes the fundamental ratios specific to special right triangles:
- 45-45-90 Triangle: Also known as an isosceles right triangle, its sides are in the ratio x : x : x√2. If the two legs (angles 45°) are 'x', then the hypotenuse (opposite 90°) is 'x√2'.
- 30-60-90 Triangle: The sides are in the ratio x : x√3 : 2x. If the shortest leg (opposite 30°) is 'x', the longer leg (opposite 60°) is 'x√3', and the hypotenuse (opposite 90°) is '2x'.
The calculator determines the remaining sides based on these precise trigonometric relationships when one side and the triangle type are known.