# 10 28 29 triangle

### Acute scalene triangle.

Sides: a = 10   b = 28   c = 29

Area: 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

# 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 ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.