# 4 10 11 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 10   c = 11

Area: T = 19.96108992783
Perimeter: p = 25
Semiperimeter: s = 12.5

Angle ∠ A = α = 21.28799664684° = 21°16'48″ = 0.37114054796 rad
Angle ∠ B = β = 65.13767118331° = 65°8'12″ = 1.13768500854 rad
Angle ∠ C = γ = 93.58333216985° = 93°35' = 1.63333370886 rad

Height: ha = 9.98804496392
Height: hb = 3.99221798557
Height: hc = 3.62992544142

Median: ma = 10.32198837203
Median: mb = 6.59554529791
Median: mc = 5.26878268764

Inradius: r = 1.59768719423
Circumradius: R = 5.51107737615

Vertex coordinates: A[11; 0] B[0; 0] C[1.68218181818; 3.62992544142]
Centroid: CG[4.22772727273; 1.21097514714]
Coordinates of the circumscribed circle: U[5.5; -0.34444233601]
Coordinates of the inscribed circle: I[2.5; 1.59768719423]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.7220033532° = 158°43'12″ = 0.37114054796 rad
∠ B' = β' = 114.8633288167° = 114°51'48″ = 1.13768500854 rad
∠ C' = γ' = 86.41766783015° = 86°25' = 1.63333370886 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.