# 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?

### 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.