10.77 7.07 14.21 triangle

Obtuse scalene triangle.

Sides: a = 10.77   b = 7.07   c = 14.21

Area: T = 36.99661463746
Perimeter: p = 32.05
Semiperimeter: s = 16.025

Angle ∠ A = α = 47.43441513042° = 47°26'3″ = 0.82878821181 rad
Angle ∠ B = β = 28.91328021753° = 28°54'46″ = 0.50546235939 rad
Angle ∠ C = γ = 103.653304652° = 103°39'11″ = 1.80990869415 rad

Height: ha = 6.8770222168
Height: hb = 10.46656708273
Height: hc = 5.20770578993

Median: ma = 9.8476637751
Median: mb = 12.10221599312
Median: mc = 5.70215677669

Inradius: r = 2.30986518799
Circumradius: R = 7.31216048902

Vertex coordinates: A[14.21; 0] B[0; 0] C[9.42875897255; 5.20770578993]
Centroid: CG[7.87991965752; 1.73656859664]
Coordinates of the circumscribed circle: U[7.105; -1.72658450307]
Coordinates of the inscribed circle: I[8.955; 2.30986518799]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.5665848696° = 132°33'57″ = 0.82878821181 rad
∠ B' = β' = 151.0877197825° = 151°5'14″ = 0.50546235939 rad
∠ C' = γ' = 76.34769534795° = 76°20'49″ = 1.80990869415 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     