Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

Acute scalene triangle.

Sides: a = 1000   b = 820   c = 1090

Area: T = 391715.2599308
Perimeter: p = 2910
Semiperimeter: s = 1455

Angle ∠ A = α = 61.22549735797° = 61°13'30″ = 1.06985773734 rad
Angle ∠ B = β = 45.95108465095° = 45°57'3″ = 0.80219935657 rad
Angle ∠ C = γ = 72.82441799109° = 72°49'27″ = 1.27110217145 rad

Height: ha = 783.4310518617
Height: hb = 955.4033071484
Height: hc = 718.7443595061

Median: ma = 824.7732695959
Median: mb = 962.2632957824
Median: mc = 734.285536687

Inradius: r = 269.222010949
Circumradius: R = 570.4439865923

Vertex coordinates: A[1090; 0] B[0; 0] C[695.2755229358; 718.7443595061]
Centroid: CG[595.0921743119; 239.5811198354]
Coordinates of the circumscribed circle: U[545; 168.4543675041]
Coordinates of the inscribed circle: I[635; 269.222010949]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 118.775502642° = 118°46'30″ = 1.06985773734 rad
∠ B' = β' = 134.0499153491° = 134°2'57″ = 0.80219935657 rad
∠ C' = γ' = 107.1765820089° = 107°10'33″ = 1.27110217145 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     