# 3 22 24 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 22   c = 24

Area: T = 25.66600370226
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 5.57877902927° = 5°34'40″ = 0.09773508056 rad
Angle ∠ B = β = 45.46114587659° = 45°27'41″ = 0.79334521382 rad
Angle ∠ C = γ = 128.9610750941° = 128°57'39″ = 2.25107897098 rad

Height: ha = 17.10766913484
Height: hb = 2.33327306384
Height: hc = 2.13883364185

Median: ma = 22.97328100153
Median: mb = 13.09658008537
Median: mc = 10.12442283657

Inradius: r = 1.04773484499
Circumradius: R = 15.43325576246

Vertex coordinates: A[24; 0] B[0; 0] C[2.10441666667; 2.13883364185]
Centroid: CG[8.70113888889; 0.71327788062]
Coordinates of the circumscribed circle: U[12; -9.7043805173]
Coordinates of the inscribed circle: I[2.5; 1.04773484499]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 174.4222209707° = 174°25'20″ = 0.09773508056 rad
∠ B' = β' = 134.5398541234° = 134°32'19″ = 0.79334521382 rad
∠ C' = γ' = 51.03992490586° = 51°2'21″ = 2.25107897098 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    