# 11 21 29 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 21   c = 29

Area: T = 92.06107815522
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 17.59878581455° = 17°35'52″ = 0.30771405659 rad
Angle ∠ B = β = 35.25326937328° = 35°15'10″ = 0.61552755758 rad
Angle ∠ C = γ = 127.1499448122° = 127°8'58″ = 2.21991765118 rad

Height: ha = 16.73883239186
Height: hb = 8.76876934812
Height: hc = 6.34990194174

Median: ma = 24.71333567125
Median: mb = 19.2554869514
Median: mc = 8.41113019206

Inradius: r = 3.01883862804
Circumradius: R = 18.19217855982

Vertex coordinates: A[29; 0] B[0; 0] C[8.98327586207; 6.34990194174]
Centroid: CG[12.66109195402; 2.11663398058]
Coordinates of the circumscribed circle: U[14.5; -10.98659484457]
Coordinates of the inscribed circle: I[9.5; 3.01883862804]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.4022141855° = 162°24'8″ = 0.30771405659 rad
∠ B' = β' = 144.7477306267° = 144°44'50″ = 0.61552755758 rad
∠ C' = γ' = 52.85105518783° = 52°51'2″ = 2.21991765118 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.