# 13.3 10.8 6.8 triangle

### Obtuse scalene triangle.

Sides: a = 13.3   b = 10.8   c = 6.8

Area: T = 36.5532577115
Perimeter: p = 30.9
Semiperimeter: s = 15.45

Angle ∠ A = α = 95.4733421006° = 95°28'24″ = 1.66663255447 rad
Angle ∠ B = β = 53.93328603147° = 53°55'58″ = 0.94113059875 rad
Angle ∠ C = γ = 30.59437186793° = 30°35'37″ = 0.53439611214 rad

Height: ha = 5.49766281376
Height: hb = 6.7698995762
Height: hc = 10.7510757975

Median: ma = 6.10106147231
Median: mb = 9.07877199781
Median: mc = 11.62877684875

Inradius: r = 2.36658625964
Circumradius: R = 6.6880459198

Vertex coordinates: A[6.8; 0] B[0; 0] C[7.83301470588; 10.7510757975]
Centroid: CG[4.87767156863; 3.58435859917]
Coordinates of the circumscribed circle: U[3.4; 5.75105247671]
Coordinates of the inscribed circle: I[4.65; 2.36658625964]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 84.5276578994° = 84°31'36″ = 1.66663255447 rad
∠ B' = β' = 126.0677139685° = 126°4'2″ = 0.94113059875 rad
∠ C' = γ' = 149.4066281321° = 149°24'23″ = 0.53439611214 rad

# How did we calculate this triangle?

### 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    