# 15 22 26 triangle

### Acute scalene triangle.

Sides: a = 15   b = 22   c = 26

Area: T = 164.7943620932
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 35.18438154883° = 35°11'2″ = 0.61440734237 rad
Angle ∠ B = β = 57.68221684943° = 57°40'56″ = 1.00767437599 rad
Angle ∠ C = γ = 87.13440160174° = 87°8'2″ = 1.521077547 rad

Height: ha = 21.9722482791
Height: hb = 14.98112382666
Height: hc = 12.67664323794

Median: ma = 22.88655849827
Median: mb = 18.15221348607
Median: mc = 13.62198384719

Inradius: r = 5.23215435217
Circumradius: R = 13.01662805324

Vertex coordinates: A[26; 0] B[0; 0] C[8.01992307692; 12.67664323794]
Centroid: CG[11.34397435897; 4.22554774598]
Coordinates of the circumscribed circle: U[13; 0.65108140266]
Coordinates of the inscribed circle: I[9.5; 5.23215435217]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.8166184512° = 144°48'58″ = 0.61440734237 rad
∠ B' = β' = 122.3187831506° = 122°19'4″ = 1.00767437599 rad
∠ C' = γ' = 92.86659839826° = 92°51'58″ = 1.521077547 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.