# 12 14 15 triangle

### Acute scalene triangle.

Sides: a = 12   b = 14   c = 15

Area: T = 78.92767856941
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 48.73664340939° = 48°44'11″ = 0.85106112406 rad
Angle ∠ B = β = 61.27883074912° = 61°16'42″ = 1.07695082258 rad
Angle ∠ C = γ = 69.98552584149° = 69°59'7″ = 1.22114731872 rad

Height: ha = 13.15444642823
Height: hb = 11.27552550992
Height: hc = 10.52435714259

Median: ma = 13.21098448136
Median: mb = 11.64404467268
Median: mc = 10.66553645039

Inradius: r = 3.8550087107
Circumradius: R = 7.98220810446

Vertex coordinates: A[15; 0] B[0; 0] C[5.76766666667; 10.52435714259]
Centroid: CG[6.92222222222; 3.5087857142]
Coordinates of the circumscribed circle: U[7.5; 2.73219622623]
Coordinates of the inscribed circle: I[6.5; 3.8550087107]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.2643565906° = 131°15'49″ = 0.85106112406 rad
∠ B' = β' = 118.7221692509° = 118°43'18″ = 1.07695082258 rad
∠ C' = γ' = 110.0154741585° = 110°53″ = 1.22114731872 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.