Triangle calculator

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

Acute scalene triangle.

Sides: a = 554   b = 541   c = 470

Area: T = 116163.2776624
Perimeter: p = 1565
Semiperimeter: s = 782.5

Angle ∠ A = α = 66.02218092982° = 66°1'19″ = 1.15222979504 rad
Angle ∠ B = β = 63.15985743763° = 63°9'31″ = 1.10223250737 rad
Angle ∠ C = γ = 50.82196163254° = 50°49'11″ = 0.88769696295 rad

Height: ha = 419.3622009472
Height: hb = 429.4399100272
Height: hc = 494.312181542

Median: ma = 424.3376540967
Median: mb = 436.7355331751
Median: mc = 494.5443729108

Inradius: r = 148.4511471723
Circumradius: R = 303.1632892986

Vertex coordinates: A[470; 0] B[0; 0] C[250.1443617021; 494.312181542]
Centroid: CG[240.048787234; 164.771060514]
Coordinates of the circumscribed circle: U[235; 191.527738625]
Coordinates of the inscribed circle: I[241.5; 148.4511471723]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 113.9788190702° = 113°58'41″ = 1.15222979504 rad
∠ B' = β' = 116.8411425624° = 116°50'29″ = 1.10223250737 rad
∠ C' = γ' = 129.1880383675° = 129°10'49″ = 0.88769696295 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     