# 10 22 25 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 22   c = 25

Area: T = 109.5211402018
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 23.46994253965° = 23°28'10″ = 0.41096187467 rad
Angle ∠ B = β = 61.18438931672° = 61°11'2″ = 1.0687860385 rad
Angle ∠ C = γ = 95.34766814363° = 95°20'48″ = 1.66441135219 rad

Height: ha = 21.90442804036
Height: hb = 9.95664910926
Height: hc = 8.76217121614

Median: ma = 23.0110866998
Median: mb = 15.54402702679
Median: mc = 11.65111801977

Inradius: r = 3.84328562112
Circumradius: R = 12.55546237965

Vertex coordinates: A[25; 0] B[0; 0] C[4.82; 8.76217121614]
Centroid: CG[9.94; 2.92105707205]
Coordinates of the circumscribed circle: U[12.5; -1.17698626719]
Coordinates of the inscribed circle: I[6.5; 3.84328562112]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.5310574603° = 156°31'50″ = 0.41096187467 rad
∠ B' = β' = 118.8166106833° = 118°48'58″ = 1.0687860385 rad
∠ C' = γ' = 84.65333185637° = 84°39'12″ = 1.66441135219 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    