10 17 20 triangle

Obtuse scalene triangle.

Sides: a = 10   b = 17   c = 20

Area: T = 84.9565503059
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 29.98326844873° = 29°58'58″ = 0.52332965629 rad
Angle ∠ B = β = 58.16333049964° = 58°9'48″ = 1.0155141176 rad
Angle ∠ C = γ = 91.85440105163° = 91°51'14″ = 1.60331549147 rad

Height: ha = 16.99111006118
Height: hb = 9.99547650658
Height: hc = 8.49655503059

Median: ma = 17.87545629317
Median: mb = 13.3322291626
Median: mc = 9.72111110476

Vertex coordinates: A[20; 0] B[0; 0] C[5.275; 8.49655503059]
Centroid: CG[8.425; 2.8321850102]
Coordinates of the circumscribed circle: U[10; -0.3243698866]
Coordinates of the inscribed circle: I[6.5; 3.61551277897]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0177315513° = 150°1'2″ = 0.52332965629 rad
∠ B' = β' = 121.8376695004° = 121°50'12″ = 1.0155141176 rad
∠ C' = γ' = 88.14659894837° = 88°8'46″ = 1.60331549147 rad

How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 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    