# 10 19 25 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 19   c = 25

Area: T = 85.69771411425
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 21.15111820865° = 21°9'4″ = 0.36991577681 rad
Angle ∠ B = β = 43.28110120024° = 43°16'52″ = 0.7555396163 rad
Angle ∠ C = γ = 115.5687805911° = 115°34'4″ = 2.01770387225 rad

Height: ha = 17.13994282285
Height: hb = 9.02107516992
Height: hc = 6.85657712914

Median: ma = 21.63333076528
Median: mb = 16.5
Median: mc = 8.61768439698

Inradius: r = 3.17439681905
Circumradius: R = 13.85769383315

Vertex coordinates: A[25; 0] B[0; 0] C[7.28; 6.85657712914]
Centroid: CG[10.76; 2.28552570971]
Coordinates of the circumscribed circle: U[12.5; -5.98803628589]
Coordinates of the inscribed circle: I[8; 3.17439681905]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.8498817913° = 158°50'56″ = 0.36991577681 rad
∠ B' = β' = 136.7198987998° = 136°43'8″ = 0.7555396163 rad
∠ C' = γ' = 64.4322194089° = 64°25'56″ = 2.01770387225 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.