# 7 24 30 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 24   c = 30

Area: T = 48.26442466014
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 7.70546928237° = 7°42'17″ = 0.13444722576 rad
Angle ∠ B = β = 27.36551372914° = 27°21'55″ = 0.4787611746 rad
Angle ∠ C = γ = 144.9330169885° = 144°55'49″ = 2.532950865 rad

Height: ha = 13.79897847433
Height: hb = 4.02220205501
Height: hc = 3.21876164401

Median: ma = 26.9439747586
Median: mb = 18.18796589627
Median: mc = 9.35441434669

Inradius: r = 1.58224343148
Circumradius: R = 26.10662813309

Vertex coordinates: A[30; 0] B[0; 0] C[6.21766666667; 3.21876164401]
Centroid: CG[12.07222222222; 1.07325388134]
Coordinates of the circumscribed circle: U[15; -21.36767481131]
Coordinates of the inscribed circle: I[6.5; 1.58224343148]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.2955307176° = 172°17'43″ = 0.13444722576 rad
∠ B' = β' = 152.6354862709° = 152°38'5″ = 0.4787611746 rad
∠ C' = γ' = 35.07698301151° = 35°4'11″ = 2.532950865 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.