Triangle calculator

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

Acute scalene triangle.

Sides: a = 259   b = 147   c = 283

Area: T = 18914.67704224
Perimeter: p = 689
Semiperimeter: s = 344.5

Angle ∠ A = α = 65.41439307816° = 65°24'50″ = 1.14216884688 rad
Angle ∠ B = β = 31.07217017172° = 31°4'18″ = 0.54223034992 rad
Angle ∠ C = γ = 83.51443675012° = 83°30'52″ = 1.45876006856 rad

Height: ha = 146.0599231061
Height: hb = 257.3422454726
Height: hc = 133.673258249

Median: ma = 184.6044306559
Median: mb = 261.1188268223
Median: mc = 155.9587526269

Inradius: r = 54.90547036934
Circumradius: R = 142.4111402887

Vertex coordinates: A[283; 0] B[0; 0] C[221.8399222615; 133.673258249]
Centroid: CG[168.2879740872; 44.55875274968]
Coordinates of the circumscribed circle: U[141.5; 16.08659464218]
Coordinates of the inscribed circle: I[197.5; 54.90547036934]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 114.5866069218° = 114°35'10″ = 1.14216884688 rad
∠ B' = β' = 148.9288298283° = 148°55'42″ = 0.54223034992 rad
∠ C' = γ' = 96.48656324988° = 96°29'8″ = 1.45876006856 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     