# 40.7 52.5 84.49 triangle

### Obtuse scalene triangle.

Sides: a = 40.7   b = 52.5   c = 84.49

Area: T = 822.8276949928
Perimeter: p = 177.69
Semiperimeter: s = 88.845

Angle ∠ A = α = 21.77773020487° = 21°46'38″ = 0.3880085623 rad
Angle ∠ B = β = 28.5921567239° = 28°35'30″ = 0.49990169866 rad
Angle ∠ C = γ = 129.6311130712° = 129°37'52″ = 2.2622490044 rad

Height: ha = 40.43437567532
Height: hb = 31.34657885687
Height: hc = 19.47774991106

Median: ma = 67.33296557989
Median: mb = 60.89771473059
Median: mc = 20.53660652268

Inradius: r = 9.26113759911
Circumradius: R = 54.85217545262

Vertex coordinates: A[84.49; 0] B[0; 0] C[35.73767741745; 19.47774991106]
Centroid: CG[40.07655913915; 6.49224997035]
Coordinates of the circumscribed circle: U[42.245; -34.98767824986]
Coordinates of the inscribed circle: I[36.345; 9.26113759911]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.2232697951° = 158°13'22″ = 0.3880085623 rad
∠ B' = β' = 151.4088432761° = 151°24'30″ = 0.49990169866 rad
∠ C' = γ' = 50.36988692877° = 50°22'8″ = 2.2622490044 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    