# 8 24 30 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 24   c = 30

Area: T = 70.64770098447
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 11.31772690307° = 11°19'2″ = 0.19875236069 rad
Angle ∠ B = β = 36.06765882598° = 36°4' = 0.62994807151 rad
Angle ∠ C = γ = 132.6166142709° = 132°36'58″ = 2.31545883316 rad

Height: ha = 17.66217524612
Height: hb = 5.88772508204
Height: hc = 4.71098006563

Median: ma = 26.87700576851
Median: mb = 18.38547763109
Median: mc = 9.74767943448

Inradius: r = 2.27989358014
Circumradius: R = 20.38330282862

Vertex coordinates: A[30; 0] B[0; 0] C[6.46766666667; 4.71098006563]
Centroid: CG[12.15655555556; 1.57699335521]
Coordinates of the circumscribed circle: U[15; -13.80110087354]
Coordinates of the inscribed circle: I[7; 2.27989358014]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.6832730969° = 168°40'58″ = 0.19875236069 rad
∠ B' = β' = 143.933341174° = 143°56' = 0.62994807151 rad
∠ C' = γ' = 47.38438572905° = 47°23'2″ = 2.31545883316 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.