Triangulator   triangle calculator   Version Française Side A = B = C =   Opposite angle in   d =   e =   f =       Perimeter =   Surface =

Results

Symbolic A, B, C = length of sides d, e, f = angles, opposite to sides A, B, C respectively P = Perimeter , S = Surface Click here for the formulas used in Results V r = radius of the circle inscribed in the triangle r = 2S / P Gergonne triangle with vertices at the points of tangency of the circle: Ga, Gb, Gc = lengths of the sides Ga = 2 × r × sin ((180 - d) / 2) Gb = 2 × r × sin ((180 - e) / 2) Gc = 2 × r × sin ((180 - f) / 2) p' = half perimeter = ( Ga + Gb + Gc )/2 Surface = square root of( p'(p'- Ga)(p'- Gb)(p'- Gc) ) R = radius of the circle circumscribed around the triangle R = ABC / 4S The center of gravity is located at the intersection of the medians. Median = straight line between a vertex and the middle of the opposite side Ma = Length of the median of A = √((B² + C²) / 2 - A² / 4) Mb = Length of the median of B = √((A² + C²) / 2 - B² / 4) Mc = Length of the median of C = √((A² + B²) / 2 - C² / 4) This center is located at 2/3 of these medians from the corners of the triangle. The orthocenter is located at the intersection of the heights. Height = length of perpendicular to one side and which joins the opposite vertex: Ha, Hb, Hc Ha = B × sin (f) Hb = A × sin (f) Hc = A × sin (e) D = Distance between the inscribed and circumscribed center: D² = R² - 2 R × r triangle solution, résolution, triangulateur, calculateur de triangle, solution de triangle, calcul triangle, calc

How to     ( Javascript must be enabled )

Input 3 values including at least one non angular one.

    ( d is the angle opposite to side A; e opposite to B; f opposite to C

Click button [ Calculate ] or [ Enter ] key to get all other values and a drawing of that triangle.

  Or click in the white left zone to directly draw a triangle.

  The 3 inputs used for solution will be highlighted in yellow background.

[ Rotation ] to turn clockwise the triangle on another side.

[ Miror ] to reverse the triangle left to right.

[ Reset] or [ Esc ] key to delete all values.

[ Data ] keeps only input data.

[ Complementary ] gives a complementary solution.

[ degree ] or [ radiant ] to change angular unit.

[ < ] or [ > ] ( at top with Triangulator # ) to go backward or forward to preceding solutions.

Scientific notation may be used. For exemble .0000123 will be presented 1.23e-5 = 1.23×10^-5.    

The last calculation is recorded in a "cookie" and will be installed when this page is reloaded.

The calculation is done with the three first inputs entered according to the order A B C d e f P S.

    Others values are discarded and not concorded.

An impossible calculation warning will show up with an error # specified in the Symbolic box.

Immediately after a successful calculation, you can change the number of decimal places by clicking on the [ + ] or [ - ] button.

The text in Results box can be copied and pasted to be saved elsewhere.

    Pasting others results there, [ Report results ] inputs them in the calculator.

Here is a practical multi calculator of angles : Calcangle

and a graphic demonstation of the Pythagorean theorem.

Ref: Wikipedia + Solution