# 177 124 63 triangle

### Obtuse scalene triangle.

Sides: a = 177   b = 124   c = 63

Area: T = 2506.15664197
Perimeter: p = 364
Semiperimeter: s = 182

Angle ∠ A = α = 140.0877490949° = 140°5'15″ = 2.44549879579 rad
Angle ∠ B = β = 26.71112543219° = 26°42'40″ = 0.46661993353 rad
Angle ∠ C = γ = 13.20112547288° = 13°12'5″ = 0.23304053604 rad

Height: ha = 28.3188151635
Height: hb = 40.42218777371
Height: hc = 79.56105212603

Median: ma = 42.89881351576
Median: mb = 117.4954680731
Median: mc = 149.5333441076

Vertex coordinates: A[63; 0] B[0; 0] C[158.1111111111; 79.56105212603]
Centroid: CG[73.70437037037; 26.52201737534]
Coordinates of the circumscribed circle: U[31.5; 134.2887707405]
Coordinates of the inscribed circle: I[58; 13.77700902181]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 39.91325090507° = 39°54'45″ = 2.44549879579 rad
∠ B' = β' = 153.2898745678° = 153°17'20″ = 0.46661993353 rad
∠ C' = γ' = 166.7998745271° = 166°47'56″ = 0.23304053604 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    