Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 10   b = 16   c = 23

Area: T = 67.30110958306
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 21.45547820505° = 21°27'17″ = 0.37444565871 rad
Angle ∠ B = β = 35.8199022505° = 35°49'8″ = 0.62551598776 rad
Angle ∠ C = γ = 122.7266195444° = 122°43'34″ = 2.1421976189 rad

Height: ha = 13.46602191661
Height: hb = 8.41326369788
Height: hc = 5.85222692027

Median: ma = 19.17702895127
Median: mb = 15.82771917913
Median: mc = 6.76438746292

Inradius: r = 2.74769835033
Circumradius: R = 13.67699111455

Vertex coordinates: A[23; 0] B[0; 0] C[8.10986956522; 5.85222692027]
Centroid: CG[10.37695652174; 1.95107564009]
Coordinates of the circumscribed circle: U[11.5; -7.3990295713]
Coordinates of the inscribed circle: I[8.5; 2.74769835033]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.545521795° = 158°32'43″ = 0.37444565871 rad
∠ B' = β' = 144.1810977495° = 144°10'52″ = 0.62551598776 rad
∠ C' = γ' = 57.27438045555° = 57°16'26″ = 2.1421976189 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     