# 14 15 24 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 15   c = 24

Area: T = 97.58881012214
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 32.83105360991° = 32°49'50″ = 0.57330009501 rad
Angle ∠ B = β = 35.51325704274° = 35°30'45″ = 0.62198112798 rad
Angle ∠ C = γ = 111.6576893474° = 111°39'25″ = 1.94987804237 rad

Height: ha = 13.94111573173
Height: hb = 13.01217468295
Height: hc = 8.13223417685

Median: ma = 18.74883332593
Median: mb = 18.15990197973
Median: mc = 8.15547532152

Inradius: r = 3.68325698574
Circumradius: R = 12.91114101436

Vertex coordinates: A[24; 0] B[0; 0] C[11.39658333333; 8.13223417685]
Centroid: CG[11.79986111111; 2.71107805895]
Coordinates of the circumscribed circle: U[12; -4.7654925172]
Coordinates of the inscribed circle: I[11.5; 3.68325698574]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.1699463901° = 147°10'10″ = 0.57330009501 rad
∠ B' = β' = 144.4877429573° = 144°29'15″ = 0.62198112798 rad
∠ C' = γ' = 68.34331065264° = 68°20'35″ = 1.94987804237 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    