# 11 17 26 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 17   c = 26

Area: T = 65.72767069006
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 17.30218627088° = 17°18'7″ = 0.3021974471 rad
Angle ∠ B = β = 27.36330618223° = 27°21'47″ = 0.47875755222 rad
Angle ∠ C = γ = 135.3355075469° = 135°20'6″ = 2.36220426604 rad

Height: ha = 11.95503103456
Height: hb = 7.7332553753
Height: hc = 5.05659005308

Median: ma = 21.26661703181
Median: mb = 18.06223918682
Median: mc = 6

Inradius: r = 2.43443224778
Circumradius: R = 18.49332435735

Vertex coordinates: A[26; 0] B[0; 0] C[9.76992307692; 5.05659005308]
Centroid: CG[11.92330769231; 1.68553001769]
Coordinates of the circumscribed circle: U[13; -13.15329486379]
Coordinates of the inscribed circle: I[10; 2.43443224778]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.6988137291° = 162°41'53″ = 0.3021974471 rad
∠ B' = β' = 152.6376938178° = 152°38'13″ = 0.47875755222 rad
∠ C' = γ' = 44.66549245311° = 44°39'54″ = 2.36220426604 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.