# 98 85 29.82 triangle

### Obtuse scalene triangle.

Sides: a = 98   b = 85   c = 29.82

Area: T = 1211.389889446
Perimeter: p = 212.82
Semiperimeter: s = 106.41

Angle ∠ A = α = 107.0990062218° = 107°5'24″ = 1.86990741819 rad
Angle ∠ B = β = 56.00111061415° = 56°4″ = 0.97774036869 rad
Angle ∠ C = γ = 16.90988316403° = 16°54'32″ = 0.29551147848 rad

Height: ha = 24.72222223359
Height: hb = 28.5033268105
Height: hc = 81.24767400712

Median: ma = 40.69554076033
Median: mb = 58.65546349405
Median: mc = 90.51107280934

Inradius: r = 11.38441640303
Circumradius: R = 51.26435952698

Vertex coordinates: A[29.82; 0] B[0; 0] C[54.79993360161; 81.24767400712]
Centroid: CG[28.20664453387; 27.08222466904]
Coordinates of the circumscribed circle: U[14.91; 49.04774066591]
Coordinates of the inscribed circle: I[21.41; 11.38441640303]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 72.91099377819° = 72°54'36″ = 1.86990741819 rad
∠ B' = β' = 123.9998893858° = 123°59'56″ = 0.97774036869 rad
∠ C' = γ' = 163.091116836° = 163°5'28″ = 0.29551147848 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    