# 10 15 19 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 15   c = 19

Area: T = 74.45880418759
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 31.50109414399° = 31°30'3″ = 0.55497951456 rad
Angle ∠ B = β = 51.60769559808° = 51°36'25″ = 0.90107112988 rad
Angle ∠ C = γ = 96.89221025793° = 96°53'32″ = 1.69110862092 rad

Height: ha = 14.89216083752
Height: hb = 9.92877389168
Height: hc = 7.83876886185

Median: ma = 16.37107055437
Median: mb = 13.22003787824
Median: mc = 8.5

Inradius: r = 3.38444564489
Circumradius: R = 9.56991476978

Vertex coordinates: A[19; 0] B[0; 0] C[6.21105263158; 7.83876886185]
Centroid: CG[8.40435087719; 2.61325628728]
Coordinates of the circumscribed circle: U[9.5; -1.14882977237]
Coordinates of the inscribed circle: I[7; 3.38444564489]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.499905856° = 148°29'57″ = 0.55497951456 rad
∠ B' = β' = 128.3933044019° = 128°23'35″ = 0.90107112988 rad
∠ C' = γ' = 83.10878974207° = 83°6'28″ = 1.69110862092 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.