# 15 16 24 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 16   c = 24

Area: T = 117.6266261949
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 37.78804045667° = 37°46'49″ = 0.65993924524 rad
Angle ∠ B = β = 40.80444376906° = 40°48'16″ = 0.71221717871 rad
Angle ∠ C = γ = 101.4155157743° = 101°24'55″ = 1.7770028414 rad

Height: ha = 15.68435015931
Height: hb = 14.70332827436
Height: hc = 9.80221884957

Median: ma = 18.96770767384
Median: mb = 18.34439363278
Median: mc = 9.82334413522

Inradius: r = 4.27773186163
Circumradius: R = 12.24221640894

Vertex coordinates: A[24; 0] B[0; 0] C[11.35441666667; 9.80221884957]
Centroid: CG[11.78547222222; 3.26773961652]
Coordinates of the circumscribed circle: U[12; -2.42329283094]
Coordinates of the inscribed circle: I[11.5; 4.27773186163]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.2219595433° = 142°13'11″ = 0.65993924524 rad
∠ B' = β' = 139.1965562309° = 139°11'44″ = 0.71221717871 rad
∠ C' = γ' = 78.58548422573° = 78°35'5″ = 1.7770028414 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    