# 11 14 15 triangle

### Acute scalene triangle.

Sides: a = 11   b = 14   c = 15

Area: T = 73.48546922835
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 44.41553085972° = 44°24'55″ = 0.77551933733 rad
Angle ∠ B = β = 62.96443082106° = 62°57'52″ = 1.09989344895 rad
Angle ∠ C = γ = 72.62203831922° = 72°37'13″ = 1.26774647908 rad

Height: ha = 13.36108531425
Height: hb = 10.49878131834
Height: hc = 9.79879589711

Median: ma = 13.42657215821
Median: mb = 11.13655287257
Median: mc = 10.11218742081

Inradius: r = 3.67442346142
Circumradius: R = 7.85987795914

Vertex coordinates: A[15; 0] B[0; 0] C[5; 9.79879589711]
Centroid: CG[6.66766666667; 3.26659863237]
Coordinates of the circumscribed circle: U[7.5; 2.34774276702]
Coordinates of the inscribed circle: I[6; 3.67442346142]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.5854691403° = 135°35'5″ = 0.77551933733 rad
∠ B' = β' = 117.0365691789° = 117°2'8″ = 1.09989344895 rad
∠ C' = γ' = 107.3879616808° = 107°22'47″ = 1.26774647908 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.