# 10 19 26 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 19   c = 26

Area: T = 78.33222251695
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 18.49897207034° = 18°29'23″ = 0.3232706504 rad
Angle ∠ B = β = 37.05331475504° = 37°3'11″ = 0.6476699423 rad
Angle ∠ C = γ = 124.4577131746° = 124°27'26″ = 2.17221867266 rad

Height: ha = 15.66664450339
Height: hb = 8.24554973863
Height: hc = 6.02655557823

Median: ma = 22.21548598915
Median: mb = 17.25554339267
Median: mc = 7.84221935707

Inradius: r = 2.84884445516
Circumradius: R = 15.76661804874

Vertex coordinates: A[26; 0] B[0; 0] C[7.98107692308; 6.02655557823]
Centroid: CG[11.32769230769; 2.00985185941]
Coordinates of the circumscribed circle: U[13; -8.922033896]
Coordinates of the inscribed circle: I[8.5; 2.84884445516]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.5110279297° = 161°30'37″ = 0.3232706504 rad
∠ B' = β' = 142.947685245° = 142°56'49″ = 0.6476699423 rad
∠ C' = γ' = 55.54328682537° = 55°32'34″ = 2.17221867266 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.