# 6.7 6.6 11.5 triangle

### Obtuse scalene triangle.

Sides: a = 6.7   b = 6.6   c = 11.5

Area: T = 19.20880608079
Perimeter: p = 24.8
Semiperimeter: s = 12.4

Angle ∠ A = α = 30.40771410713° = 30°24'26″ = 0.53107047278 rad
Angle ∠ B = β = 29.90765548434° = 29°54'24″ = 0.52219678499 rad
Angle ∠ C = γ = 119.6866304085° = 119°41'11″ = 2.08989200758 rad

Height: ha = 5.73437494949
Height: hb = 5.82106244872
Height: hc = 3.34105323144

Median: ma = 8.75768544581
Median: mb = 8.81436258146
Median: mc = 3.34110327745

Inradius: r = 1.54990371619
Circumradius: R = 6.6198705619

Vertex coordinates: A[11.5; 0] B[0; 0] C[5.8087826087; 3.34105323144]
Centroid: CG[5.76992753623; 1.11435107715]
Coordinates of the circumscribed circle: U[5.75; -3.27879206933]
Coordinates of the inscribed circle: I[5.8; 1.54990371619]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.5932858929° = 149°35'34″ = 0.53107047278 rad
∠ B' = β' = 150.0933445157° = 150°5'36″ = 0.52219678499 rad
∠ C' = γ' = 60.31436959147° = 60°18'49″ = 2.08989200758 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.