# 7 14 15 triangle

### Acute scalene triangle.

Sides: a = 7   b = 14   c = 15

Area: T = 48.74442304278
Perimeter: p = 36
Semiperimeter: s = 18

Angle ∠ A = α = 27.66604498993° = 27°39'38″ = 0.48327659233 rad
Angle ∠ B = β = 68.19662520106° = 68°11'47″ = 1.19902491351 rad
Angle ∠ C = γ = 84.14332980901° = 84°8'36″ = 1.46985775952 rad

Height: ha = 13.92769229794
Height: hb = 6.96334614897
Height: hc = 6.49992307237

Median: ma = 14.08801278403
Median: mb = 9.38108315196
Median: mc = 8.1399410298

Inradius: r = 2.70880128015
Circumradius: R = 7.53993538225

Vertex coordinates: A[15; 0] B[0; 0] C[2.6; 6.49992307237]
Centroid: CG[5.86766666667; 2.16664102412]
Coordinates of the circumscribed circle: U[7.5; 0.76993218186]
Coordinates of the inscribed circle: I[4; 2.70880128015]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.3439550101° = 152°20'22″ = 0.48327659233 rad
∠ B' = β' = 111.8043747989° = 111°48'13″ = 1.19902491351 rad
∠ C' = γ' = 95.85767019099° = 95°51'24″ = 1.46985775952 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    