# 24.4 13.1 30.3 triangle

### Obtuse scalene triangle.

Sides: a = 24.4   b = 13.1   c = 30.3

Area: T = 155.2990386051
Perimeter: p = 67.8
Semiperimeter: s = 33.9

Angle ∠ A = α = 51.48661164389° = 51°29'10″ = 0.89986022509 rad
Angle ∠ B = β = 24.84402554595° = 24°50'25″ = 0.43435442448 rad
Angle ∠ C = γ = 103.6743628102° = 103°40'25″ = 1.80994461579 rad

Height: ha = 12.72987201681
Height: hb = 23.70884558857
Height: hc = 10.25501904984

Median: ma = 19.9
Median: mb = 26.71774568401
Median: mc = 12.40881626359

Vertex coordinates: A[30.3; 0] B[0; 0] C[22.14325742574; 10.25501904984]
Centroid: CG[17.48108580858; 3.41767301661]
Coordinates of the circumscribed circle: U[15.15; -3.68657851574]
Coordinates of the inscribed circle: I[20.8; 4.58108373466]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.5143883561° = 128°30'50″ = 0.89986022509 rad
∠ B' = β' = 155.165974454° = 155°9'35″ = 0.43435442448 rad
∠ C' = γ' = 76.32663718984° = 76°19'35″ = 1.80994461579 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    