# 11 29 30 triangle

### Acute scalene triangle.

Sides: a = 11   b = 29   c = 30

Area: T = 158.7455078664
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 21.40333496394° = 21°24'12″ = 0.37435589222 rad
Angle ∠ B = β = 74.17333798681° = 74°10'24″ = 1.2954569696 rad
Angle ∠ C = γ = 84.42332704925° = 84°25'24″ = 1.47334640354 rad

Height: ha = 28.86327415753
Height: hb = 10.94879364596
Height: hc = 10.58330052443

Median: ma = 28.98770660813
Median: mb = 17.32877234512
Median: mc = 16

Inradius: r = 4.53655736761
Circumradius: R = 15.07113333612

Vertex coordinates: A[30; 0] B[0; 0] C[3; 10.58330052443]
Centroid: CG[11; 3.52876684148]
Coordinates of the circumscribed circle: U[15; 1.46546123329]
Coordinates of the inscribed circle: I[6; 4.53655736761]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.5976650361° = 158°35'48″ = 0.37435589222 rad
∠ B' = β' = 105.8276620132° = 105°49'36″ = 1.2954569696 rad
∠ C' = γ' = 95.57767295075° = 95°34'36″ = 1.47334640354 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.