# 10 19 20 triangle

### Acute scalene triangle.

Sides: a = 10   b = 19   c = 20

Area: T = 93.76879982723
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 29.5721926754° = 29°34'19″ = 0.5166127488 rad
Angle ∠ B = β = 69.66655200278° = 69°39'56″ = 1.21658926996 rad
Angle ∠ C = γ = 80.76325532182° = 80°45'45″ = 1.4109572466 rad

Height: ha = 18.75435996545
Height: hb = 9.87703156076
Height: hc = 9.37767998272

Median: ma = 18.8554707635
Median: mb = 12.63992246598
Median: mc = 11.42436596588

Inradius: r = 3.82772652356
Circumradius: R = 10.13113882935

Vertex coordinates: A[20; 0] B[0; 0] C[3.475; 9.37767998272]
Centroid: CG[7.825; 3.12655999424]
Coordinates of the circumscribed circle: U[10; 1.62663544366]
Coordinates of the inscribed circle: I[5.5; 3.82772652356]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.4288073246° = 150°25'41″ = 0.5166127488 rad
∠ B' = β' = 110.3344479972° = 110°20'4″ = 1.21658926996 rad
∠ C' = γ' = 99.23774467818° = 99°14'15″ = 1.4109572466 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.