# 6 24 26 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 24   c = 26

Area: T = 70.21997150991
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 13.00328244668° = 13°10″ = 0.2276942099 rad
Angle ∠ B = β = 64.15875871263° = 64°9'27″ = 1.12197611355 rad
Angle ∠ C = γ = 102.8439588407° = 102°50'23″ = 1.79548894191 rad

Height: ha = 23.4399905033
Height: hb = 5.85499762583
Height: hc = 5.43999780845

Median: ma = 24.83994846967
Median: mb = 14.56602197786
Median: mc = 11.70546999107

Inradius: r = 2.50771326821
Circumradius: R = 13.33333874458

Vertex coordinates: A[26; 0] B[0; 0] C[2.61553846154; 5.43999780845]
Centroid: CG[9.53884615385; 1.87999926948]
Coordinates of the circumscribed circle: U[13; -2.9632974988]
Coordinates of the inscribed circle: I[4; 2.50771326821]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.9977175533° = 166°59'50″ = 0.2276942099 rad
∠ B' = β' = 115.8422412874° = 115°50'33″ = 1.12197611355 rad
∠ C' = γ' = 77.16604115931° = 77°9'37″ = 1.79548894191 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    