# 35 52 82 triangle

### Obtuse scalene triangle.

Sides: a = 35   b = 52   c = 82

Area: T = 582.9655211226
Perimeter: p = 169
Semiperimeter: s = 84.5

Angle ∠ A = α = 15.86988221166° = 15°52'8″ = 0.27769631943 rad
Angle ∠ B = β = 23.9699327689° = 23°58'10″ = 0.41883436877 rad
Angle ∠ C = γ = 140.1621850194° = 140°9'43″ = 2.44662857716 rad

Height: ha = 33.31222977844
Height: hb = 22.42217388933
Height: hc = 14.21986636884

Median: ma = 66.3910887929
Median: mb = 57.43325691572
Median: mc = 16.83774582405

Inradius: r = 6.89989965826
Circumradius: R = 644.0003884992

Vertex coordinates: A[82; 0] B[0; 0] C[31.98217073171; 14.21986636884]
Centroid: CG[37.9943902439; 4.74395545628]
Coordinates of the circumscribed circle: U[41; -49.14331554548]
Coordinates of the inscribed circle: I[32.5; 6.89989965826]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.1311177883° = 164°7'52″ = 0.27769631943 rad
∠ B' = β' = 156.0310672311° = 156°1'50″ = 0.41883436877 rad
∠ C' = γ' = 39.83881498056° = 39°50'17″ = 2.44662857716 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    