Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 50   b = 60   c = 77.78

Area: T = 1499.947734837
Perimeter: p = 187.78
Semiperimeter: s = 93.89

Angle ∠ A = α = 40.00221393016° = 40°8″ = 0.69881690387 rad
Angle ∠ B = β = 50.47879247335° = 50°28'41″ = 0.88110059862 rad
Angle ∠ C = γ = 89.52199359648° = 89°31'12″ = 1.56224176288 rad

Height: ha = 59.99878939349
Height: hb = 49.99882449457
Height: hc = 38.56989727018

Median: ma = 64.80663592559
Median: mb = 58.0943581401
Median: mc = 39.2121833673

Inradius: r = 15.97655815142
Circumradius: R = 38.89113651291

Vertex coordinates: A[77.78; 0] B[0; 0] C[31.81987734636; 38.56989727018]
Centroid: CG[36.53329244879; 12.85663242339]
Coordinates of the circumscribed circle: U[38.89; 0.32658551919]
Coordinates of the inscribed circle: I[33.89; 15.97655815142]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.9987860698° = 139°59'52″ = 0.69881690387 rad
∠ B' = β' = 129.5222075266° = 129°31'19″ = 0.88110059862 rad
∠ C' = γ' = 90.48800640352° = 90°28'48″ = 1.56224176288 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     