# 10 11 16 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 11   c = 16

Area: T = 54.32995165724
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 38.11002974907° = 38°6'1″ = 0.66549756372 rad
Angle ∠ B = β = 42.74655692247° = 42°44'44″ = 0.74660509236 rad
Angle ∠ C = γ = 99.15441332846° = 99°9'15″ = 1.73105660928 rad

Height: ha = 10.86599033145
Height: hb = 9.87326393768
Height: hc = 6.78774395716

Median: ma = 12.78767118525
Median: mb = 12.15552457811
Median: mc = 6.81990908485

Inradius: r = 2.93551090039
Circumradius: R = 8.10332028971

Vertex coordinates: A[16; 0] B[0; 0] C[7.344375; 6.78774395716]
Centroid: CG[7.781125; 2.26224798572]
Coordinates of the circumscribed circle: U[8; -1.28991459154]
Coordinates of the inscribed circle: I[7.5; 2.93551090039]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.9899702509° = 141°53'59″ = 0.66549756372 rad
∠ B' = β' = 137.2544430775° = 137°15'16″ = 0.74660509236 rad
∠ C' = γ' = 80.84658667154° = 80°50'45″ = 1.73105660928 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.