# 22 25 27 triangle

### Acute scalene triangle.

Sides: a = 22   b = 25   c = 27

Area: T = 258.0769758011
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 49.87659654065° = 49°52'33″ = 0.8770499814 rad
Angle ∠ B = β = 60.33435799673° = 60°20'1″ = 1.05330196199 rad
Angle ∠ C = γ = 69.79904546262° = 69°47'26″ = 1.21880732197 rad

Height: ha = 23.46108870919
Height: hb = 20.64655806409
Height: hc = 19.11662783712

Median: ma = 23.58796522451
Median: mb = 21.21990951739
Median: mc = 19.29437813816

Inradius: r = 6.97548583246
Circumradius: R = 14.38656452945

Vertex coordinates: A[27; 0] B[0; 0] C[10.88988888889; 19.11662783712]
Centroid: CG[12.63296296296; 6.37220927904]
Coordinates of the circumscribed circle: U[13.5; 4.97695865563]
Coordinates of the inscribed circle: I[12; 6.97548583246]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.1244034594° = 130°7'27″ = 0.8770499814 rad
∠ B' = β' = 119.6666420033° = 119°39'59″ = 1.05330196199 rad
∠ C' = γ' = 110.2109545374° = 110°12'34″ = 1.21880732197 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    