# 25 27 30 triangle

### Acute scalene triangle.

Sides: a = 25   b = 27   c = 30

Area: T = 317.8432728405
Perimeter: p = 82
Semiperimeter: s = 41

Angle ∠ A = α = 51.70218942226° = 51°42'7″ = 0.90223682837 rad
Angle ∠ B = β = 57.94994901188° = 57°56'58″ = 1.01114094024 rad
Angle ∠ C = γ = 70.34986156587° = 70°20'55″ = 1.22878149675 rad

Height: ha = 25.42774182724
Height: hb = 23.54439058078
Height: hc = 21.1989515227

Median: ma = 25.65663832213
Median: mb = 24.08883789409
Median: mc = 21.26602916255

Inradius: r = 7.75222616684
Circumradius: R = 15.92876885943

Vertex coordinates: A[30; 0] B[0; 0] C[13.26766666667; 21.1989515227]
Centroid: CG[14.42222222222; 7.06331717423]
Coordinates of the circumscribed circle: U[15; 5.35664226828]
Coordinates of the inscribed circle: I[14; 7.75222616684]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.2988105777° = 128°17'53″ = 0.90223682837 rad
∠ B' = β' = 122.0510509881° = 122°3'2″ = 1.01114094024 rad
∠ C' = γ' = 109.6511384341° = 109°39'5″ = 1.22878149675 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.