# 18.5 19.2 27.5 triangle

### Obtuse scalene triangle.

Sides: a = 18.5   b = 19.2   c = 27.5

Area: T = 177.2387593078
Perimeter: p = 65.2
Semiperimeter: s = 32.6

Angle ∠ A = α = 42.17216935138° = 42°10'18″ = 0.7366034903 rad
Angle ∠ B = β = 44.16774030772° = 44°10'3″ = 0.77108666058 rad
Angle ∠ C = γ = 93.66109034091° = 93°39'39″ = 1.63546911449 rad

Height: ha = 19.16108208733
Height: hb = 18.46222492789
Height: hc = 12.89900067693

Median: ma = 21.83876395245
Median: mb = 21.3879663234
Median: mc = 12.89989340645

Inradius: r = 5.4376735984
Circumradius: R = 13.77881153399

Vertex coordinates: A[27.5; 0] B[0; 0] C[13.27701818182; 12.89900067693]
Centroid: CG[13.59900606061; 4.29766689231]
Coordinates of the circumscribed circle: U[13.75; -0.88797512835]
Coordinates of the inscribed circle: I[13.4; 5.4376735984]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.8288306486° = 137°49'42″ = 0.7366034903 rad
∠ B' = β' = 135.8332596923° = 135°49'57″ = 0.77108666058 rad
∠ C' = γ' = 86.33990965909° = 86°20'21″ = 1.63546911449 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:

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