55 90 50 triangle

Obtuse scalene triangle.

Sides: a = 55   b = 90   c = 50

Area: T = 1214.994421295
Perimeter: p = 195
Semiperimeter: s = 97.5

Angle ∠ A = α = 32.68334637577° = 32°41' = 0.57704340535 rad
Angle ∠ B = β = 117.9166339005° = 117°54'59″ = 2.05880283575 rad
Angle ∠ C = γ = 29.44001972368° = 29°24'1″ = 0.51331302425 rad

Height: ha = 44.18216077436
Height: hb = 276.9998713989
Height: hc = 48.6599768518

Median: ma = 67.40773438136
Median: mb = 27.1576951228
Median: mc = 70.26773466128

Inradius: r = 12.46114791072
Circumradius: R = 50.92661684875

Vertex coordinates: A[50; 0] B[0; 0] C[-25.75; 48.6599768518]
Centroid: CG[8.08333333333; 16.21999228393]
Coordinates of the circumscribed circle: U[25; 44.36774952732]
Coordinates of the inscribed circle: I[7.5; 12.46114791072]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.3176536242° = 147°19' = 0.57704340535 rad
∠ B' = β' = 62.08436609946° = 62°5'1″ = 2.05880283575 rad
∠ C' = γ' = 150.6599802763° = 150°35'59″ = 0.51331302425 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     