# 2 25 26 triangle

### Obtuse scalene triangle.

Sides: a = 2   b = 25   c = 26

Area: T = 22.06766603726
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 3.89332306609° = 3°53'36″ = 0.06879496936 rad
Angle ∠ B = β = 58.07224728042° = 58°4'21″ = 1.01435558552 rad
Angle ∠ C = γ = 118.0344296535° = 118°2'3″ = 2.06600871048 rad

Height: ha = 22.06766603726
Height: hb = 1.76553328298
Height: hc = 1.69774354133

Median: ma = 25.48552898747
Median: mb = 13.55554417117
Median: mc = 12.06223380818

Inradius: r = 0.8332704165
Circumradius: R = 14.72881008776

Vertex coordinates: A[26; 0] B[0; 0] C[1.05876923077; 1.69774354133]
Centroid: CG[9.01992307692; 0.56658118044]
Coordinates of the circumscribed circle: U[13; -6.92222074125]
Coordinates of the inscribed circle: I[1.5; 0.8332704165]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 176.1076769339° = 176°6'24″ = 0.06879496936 rad
∠ B' = β' = 121.9287527196° = 121°55'39″ = 1.01435558552 rad
∠ C' = γ' = 61.96657034651° = 61°57'57″ = 2.06600871048 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    