Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 10   b = 16   c = 20

Area: T = 79.24401413426
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 29.68662952314° = 29°41'11″ = 0.51881235945 rad
Angle ∠ B = β = 52.41104970351° = 52°24'38″ = 0.91547357359 rad
Angle ∠ C = γ = 97.90332077335° = 97°54'12″ = 1.70987333232 rad

Height: ha = 15.84880282685
Height: hb = 9.90550176678
Height: hc = 7.92440141343

Median: ma = 17.40768951855
Median: mb = 13.6388181697
Median: mc = 8.83217608663

Inradius: r = 3.44552235366
Circumradius: R = 10.09658931477

Vertex coordinates: A[20; 0] B[0; 0] C[6.1; 7.92440141343]
Centroid: CG[8.7; 2.64113380448]
Coordinates of the circumscribed circle: U[10; -1.38881853078]
Coordinates of the inscribed circle: I[7; 3.44552235366]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.3143704769° = 150°18'49″ = 0.51881235945 rad
∠ B' = β' = 127.5989502965° = 127°35'22″ = 0.91547357359 rad
∠ C' = γ' = 82.09767922665° = 82°5'48″ = 1.70987333232 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     