Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 90   b = 55   c = 50

Area: T = 1214.994421295
Perimeter: p = 195
Semiperimeter: s = 97.5

Angle ∠ A = α = 117.9166339005° = 117°54'59″ = 2.05880283575 rad
Angle ∠ B = β = 32.68334637577° = 32°41' = 0.57704340535 rad
Angle ∠ C = γ = 29.44001972368° = 29°24'1″ = 0.51331302425 rad

Height: ha = 276.9998713989
Height: hb = 44.18216077436
Height: hc = 48.6599768518

Median: ma = 27.1576951228
Median: mb = 67.40773438136
Median: mc = 70.26773466128

Inradius: r = 12.46114791072
Circumradius: R = 50.92661684875

Vertex coordinates: A[50; 0] B[0; 0] C[75.75; 48.6599768518]
Centroid: CG[41.91766666667; 16.21999228393]
Coordinates of the circumscribed circle: U[25; 44.36774952732]
Coordinates of the inscribed circle: I[42.5; 12.46114791072]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 62.08436609946° = 62°5'1″ = 2.05880283575 rad
∠ B' = β' = 147.3176536242° = 147°19' = 0.57704340535 rad
∠ C' = γ' = 150.6599802763° = 150°35'59″ = 0.51331302425 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     