# 4 25 27 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 25   c = 27

Area: T = 44.98998886413
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 7.64551074586° = 7°38'42″ = 0.13334322968 rad
Angle ∠ B = β = 56.25110114041° = 56°15'4″ = 0.98217653566 rad
Angle ∠ C = γ = 116.1043881137° = 116°6'14″ = 2.02663950002 rad

Height: ha = 22.45499443206
Height: hb = 3.59219910913
Height: hc = 3.32659176771

Median: ma = 25.94222435421
Median: mb = 14.70554411699
Median: mc = 11.75879760163

Inradius: r = 1.60435674515
Circumradius: R = 15.03334448576

Vertex coordinates: A[27; 0] B[0; 0] C[2.22222222222; 3.32659176771]
Centroid: CG[9.74107407407; 1.10986392257]
Coordinates of the circumscribed circle: U[13.5; -6.61547157373]
Coordinates of the inscribed circle: I[3; 1.60435674515]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.3554892541° = 172°21'18″ = 0.13334322968 rad
∠ B' = β' = 123.7498988596° = 123°44'56″ = 0.98217653566 rad
∠ C' = γ' = 63.89661188627° = 63°53'46″ = 2.02663950002 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 ### 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.