# 6 26 27 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 26   c = 27

Area: T = 77.88441286784
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 12.82201897405° = 12°49'13″ = 0.22437545217 rad
Angle ∠ B = β = 74.05663780336° = 74°3'23″ = 1.29325276288 rad
Angle ∠ C = γ = 93.12334322259° = 93°7'24″ = 1.62553105031 rad

Height: ha = 25.96113762261
Height: hb = 5.99110868214
Height: hc = 5.76991947169

Median: ma = 26.33443881645
Median: mb = 14.61216391962
Median: mc = 13.18114263265

Inradius: r = 2.64401399552
Circumradius: R = 13.52200844879

Vertex coordinates: A[27; 0] B[0; 0] C[1.64881481481; 5.76991947169]
Centroid: CG[9.5499382716; 1.92330649056]
Coordinates of the circumscribed circle: U[13.5; -0.73766712702]
Coordinates of the inscribed circle: I[3.5; 2.64401399552]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.187981026° = 167°10'47″ = 0.22437545217 rad
∠ B' = β' = 105.9443621966° = 105°56'37″ = 1.29325276288 rad
∠ C' = γ' = 86.87765677741° = 86°52'36″ = 1.62553105031 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.