# 10 14 20 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 14   c = 20

Area: T = 64.99223072371
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 27.66604498993° = 27°39'38″ = 0.48327659233 rad
Angle ∠ B = β = 40.53658021113° = 40°32'9″ = 0.70774832118 rad
Angle ∠ C = γ = 111.8043747989° = 111°48'13″ = 1.95113435185 rad

Height: ha = 12.99884614474
Height: hb = 9.28546153196
Height: hc = 6.49992307237

Median: ma = 16.52327116419
Median: mb = 14.17774468788
Median: mc = 6.92882032303

Inradius: r = 2.95441957835
Circumradius: R = 10.77105054607

Vertex coordinates: A[20; 0] B[0; 0] C[7.6; 6.49992307237]
Centroid: CG[9.2; 2.16664102412]
Coordinates of the circumscribed circle: U[10; -44.0004734568]
Coordinates of the inscribed circle: I[8; 2.95441957835]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.3439550101° = 152°20'22″ = 0.48327659233 rad
∠ B' = β' = 139.4644197889° = 139°27'51″ = 0.70774832118 rad
∠ C' = γ' = 68.19662520106° = 68°11'47″ = 1.95113435185 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.