# 16 25 26 triangle

### Acute scalene triangle.

Sides: a = 16   b = 25   c = 26

Area: T = 193.3222108151
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 36.50110313077° = 36°30'4″ = 0.63770631767 rad
Angle ∠ B = β = 68.34766348397° = 68°20'48″ = 1.19328738106 rad
Angle ∠ C = γ = 75.15223338526° = 75°9'8″ = 1.31216556663 rad

Height: ha = 24.16552635189
Height: hb = 15.46657686521
Height: hc = 14.87109313962

Median: ma = 24.21877620766
Median: mb = 17.65997159068
Median: mc = 16.47772570533

Inradius: r = 5.77108091985
Circumradius: R = 13.44990567316

Vertex coordinates: A[26; 0] B[0; 0] C[5.90438461538; 14.87109313962]
Centroid: CG[10.63546153846; 4.95769771321]
Coordinates of the circumscribed circle: U[13; 3.44663207875]
Coordinates of the inscribed circle: I[8.5; 5.77108091985]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.4998968692° = 143°29'56″ = 0.63770631767 rad
∠ B' = β' = 111.653336516° = 111°39'12″ = 1.19328738106 rad
∠ C' = γ' = 104.8487666147° = 104°50'52″ = 1.31216556663 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.