Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 600   b = 108   c = 517.84

Area: T = 19497.95333322
Perimeter: p = 1225.84
Semiperimeter: s = 612.92

Angle ∠ A = α = 135.7921783758° = 135°47'30″ = 2.37700137237 rad
Angle ∠ B = β = 7.2110105909° = 7°12'36″ = 0.12658400875 rad
Angle ∠ C = γ = 36.99881103326° = 36°59'53″ = 0.64657388423 rad

Height: ha = 64.9933177774
Height: hb = 361.0733209856
Height: hc = 75.30549333084

Median: ma = 223.4087996276
Median: mb = 557.8219982432
Median: mc = 344.6632782441

Inradius: r = 31.81215795409
Circumradius: R = 430.2510696423

Vertex coordinates: A[517.84; 0] B[0; 0] C[595.256554766; 75.30549333084]
Centroid: CG[371.032184922; 25.10216444361]
Coordinates of the circumscribed circle: U[258.92; 343.6222023992]
Coordinates of the inscribed circle: I[504.92; 31.81215795409]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 44.20882162417° = 44°12'30″ = 2.37700137237 rad
∠ B' = β' = 172.7989894091° = 172°47'24″ = 0.12658400875 rad
∠ C' = γ' = 143.0021889667° = 143°7″ = 0.64657388423 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     