# 7 18 24 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 18   c = 24

Area: T = 37.32987757635
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 9.95217277652° = 9°57'6″ = 0.17436904158 rad
Angle ∠ B = β = 26.38443297494° = 26°23'4″ = 0.46604934251 rad
Angle ∠ C = γ = 143.6643942485° = 143°39'50″ = 2.50774088128 rad

Height: ha = 10.66553645039
Height: hb = 4.14876417515
Height: hc = 3.11107313136

Median: ma = 20.92224759529
Median: mb = 15.21551240547
Median: mc = 6.51992024052

Inradius: r = 1.52436235006
Circumradius: R = 20.25224723765

Vertex coordinates: A[24; 0] B[0; 0] C[6.27108333333; 3.11107313136]
Centroid: CG[10.09902777778; 1.03769104379]
Coordinates of the circumscribed circle: U[12; -16.31444916367]
Coordinates of the inscribed circle: I[6.5; 1.52436235006]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.0488272235° = 170°2'54″ = 0.17436904158 rad
∠ B' = β' = 153.6165670251° = 153°36'56″ = 0.46604934251 rad
∠ C' = γ' = 36.33660575146° = 36°20'10″ = 2.50774088128 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.