# Triangle calculator SSS - result

### Acute scalene triangle.

Sides: a = 13   b = 22   c = 24

Area: T = 141.6988403308
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 32.46217449672° = 32°27'42″ = 0.56765643306 rad
Angle ∠ B = β = 65.27546350727° = 65°16'29″ = 1.13992573001 rad
Angle ∠ C = γ = 82.264361996° = 82°15'49″ = 1.43657710229 rad

Height: ha = 21.87997543551
Height: hb = 12.8821673028
Height: hc = 11.80882002757

Median: ma = 22.08550628254
Median: mb = 15.85987515272
Median: mc = 13.50992560861

Vertex coordinates: A[24; 0] B[0; 0] C[5.43875; 11.80882002757]
Centroid: CG[9.81325; 3.93660667586]
Coordinates of the circumscribed circle: U[12; 1.63302230273]
Coordinates of the inscribed circle: I[7.5; 4.80333357054]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.5388255033° = 147°32'18″ = 0.56765643306 rad
∠ B' = β' = 114.7255364927° = 114°43'31″ = 1.13992573001 rad
∠ C' = γ' = 97.736638004° = 97°44'11″ = 1.43657710229 rad

# How did we calculate this triangle? ### 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    