10 28 29 triangle
Acute scalene triangle.
Sides: a = 10 b = 28 c = 29Area: T = 139.5876666627
Perimeter: p = 67
Semiperimeter: s = 33.5
Angle ∠ A = α = 20.10991416034° = 20°6'33″ = 0.35109707307 rad
Angle ∠ B = β = 74.29546905361° = 74°17'41″ = 1.29766869666 rad
Angle ∠ C = γ = 85.59661678604° = 85°35'46″ = 1.49439349563 rad
Height: ha = 27.91773333254
Height: hb = 9.97704761876
Height: hc = 9.62766666639
Median: ma = 28.06224304008
Median: mb = 16.56880415258
Median: mc = 15.22333373476
Inradius: r = 4.1676766168
Circumradius: R = 14.54329362922
Vertex coordinates: A[29; 0] B[0; 0] C[2.70768965517; 9.62766666639]
Centroid: CG[10.56989655172; 3.2098888888]
Coordinates of the circumscribed circle: U[14.5; 1.1176689751]
Coordinates of the inscribed circle: I[5.5; 4.1676766168]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.8910858397° = 159°53'27″ = 0.35109707307 rad
∠ B' = β' = 105.7055309464° = 105°42'19″ = 1.29766869666 rad
∠ C' = γ' = 94.40438321396° = 94°24'14″ = 1.49439349563 rad
Calculate another triangle
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

6. Inradius

7. Circumradius
