Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 5.321   b = 7.942   c = 9.707

Area: T = 21.1187780393
Perimeter: p = 22.97
Semiperimeter: s = 11.485

Angle ∠ A = α = 33.22197843724° = 33°13'11″ = 0.58797946141 rad
Angle ∠ B = β = 54.85663337337° = 54°51'23″ = 0.95774236392 rad
Angle ∠ C = γ = 91.92438818939° = 91°55'26″ = 1.60443744003 rad

Height: ha = 7.93875231697
Height: hb = 5.31880006026
Height: hc = 4.35110415974

Median: ma = 8.46600441045
Median: mb = 6.74554135529
Median: mc = 4.7055076009

Inradius: r = 1.83987270695
Circumradius: R = 4.85662374151

Vertex coordinates: A[9.707; 0] B[0; 0] C[3.06329198517; 4.35110415974]
Centroid: CG[4.25766399506; 1.45503471991]
Coordinates of the circumscribed circle: U[4.85435; -0.16330324565]
Coordinates of the inscribed circle: I[3.543; 1.83987270695]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.7880215628° = 146°46'49″ = 0.58797946141 rad
∠ B' = β' = 125.1443666266° = 125°8'37″ = 0.95774236392 rad
∠ C' = γ' = 88.07661181061° = 88°4'34″ = 1.60443744003 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     