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?

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     