# 6 19 24 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 19   c = 24

Area: T = 35.30549217532
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 8.9087873456° = 8°54'28″ = 0.15554717212 rad
Angle ∠ B = β = 29.3633334592° = 29°21'48″ = 0.5122486868 rad
Angle ∠ C = γ = 141.7298791952° = 141°43'44″ = 2.47436340644 rad

Height: ha = 11.76883072511
Height: hb = 3.7166307553
Height: hc = 2.94220768128

Median: ma = 21.43659511102
Median: mb = 14.68884308216
Median: mc = 7.38224115301

Inradius: r = 1.44110172144
Circumradius: R = 19.37440692808

Vertex coordinates: A[24; 0] B[0; 0] C[5.22991666667; 2.94220768128]
Centroid: CG[9.74330555556; 0.98106922709]
Coordinates of the circumscribed circle: U[12; -15.21103438652]
Coordinates of the inscribed circle: I[5.5; 1.44110172144]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.0922126544° = 171°5'32″ = 0.15554717212 rad
∠ B' = β' = 150.6376665408° = 150°38'12″ = 0.5122486868 rad
∠ C' = γ' = 38.27112080479° = 38°16'16″ = 2.47436340644 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.