# 8 22 24 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 22   c = 24

Area: T = 87.72111491033
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 19.40770433824° = 19°24'25″ = 0.33987168051 rad
Angle ∠ B = β = 66.03105176822° = 66°1'50″ = 1.15224499404 rad
Angle ∠ C = γ = 94.56224389353° = 94°33'45″ = 1.65504259081 rad

Height: ha = 21.93302872758
Height: hb = 7.97546499185
Height: hc = 7.31100957586

Median: ma = 22.67215680975
Median: mb = 14.10767359797
Median: mc = 11.4021754251

Inradius: r = 3.24989314483
Circumradius: R = 12.03881459978

Vertex coordinates: A[24; 0] B[0; 0] C[3.25; 7.31100957586]
Centroid: CG[9.08333333333; 2.43766985862]
Coordinates of the circumscribed circle: U[12; -0.95875797953]
Coordinates of the inscribed circle: I[5; 3.24989314483]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.5932956618° = 160°35'35″ = 0.33987168051 rad
∠ B' = β' = 113.9699482318° = 113°58'10″ = 1.15224499404 rad
∠ C' = γ' = 85.43875610647° = 85°26'15″ = 1.65504259081 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.