# 11 16 26 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 16   c = 26

Area: T = 46.43774579408
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 12.99004051848° = 12°54'1″ = 0.22551545453 rad
Angle ∠ B = β = 18.95496703376° = 18°56'59″ = 0.33107341396 rad
Angle ∠ C = γ = 148.1549924478° = 148°9' = 2.58657039687 rad

Height: ha = 8.4433174171
Height: hb = 5.80546822426
Height: hc = 3.57221121493

Median: ma = 20.87546257451
Median: mb = 18.28993411582
Median: mc = 4.41658804332

Inradius: r = 1.75223569034
Circumradius: R = 24.63552847621

Vertex coordinates: A[26; 0] B[0; 0] C[10.40438461538; 3.57221121493]
Centroid: CG[12.13546153846; 1.19107040498]
Coordinates of the circumscribed circle: U[13; -20.92659947269]
Coordinates of the inscribed circle: I[10.5; 1.75223569034]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.1099594815° = 167°5'59″ = 0.22551545453 rad
∠ B' = β' = 161.0550329662° = 161°3'1″ = 0.33107341396 rad
∠ C' = γ' = 31.85500755224° = 31°51' = 2.58657039687 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.