# 11 19 28 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 19   c = 28

Area: T = 72.25495674728
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 15.76603863421° = 15°45'37″ = 0.27550706331 rad
Angle ∠ B = β = 27.97993322757° = 27°58'46″ = 0.48883314707 rad
Angle ∠ C = γ = 136.2660281382° = 136°15'37″ = 2.37881905498 rad

Height: ha = 13.1366284995
Height: hb = 7.60552176287
Height: hc = 5.16106833909

Median: ma = 23.28662620444
Median: mb = 19.03328663107
Median: mc = 6.70882039325

Inradius: r = 2.49113643956
Circumradius: R = 20.2499256171

Vertex coordinates: A[28; 0] B[0; 0] C[9.71442857143; 5.16106833909]
Centroid: CG[12.57114285714; 1.7220227797]
Coordinates of the circumscribed circle: U[14; -14.63298453676]
Coordinates of the inscribed circle: I[10; 2.49113643956]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.2439613658° = 164°14'23″ = 0.27550706331 rad
∠ B' = β' = 152.0210667724° = 152°1'14″ = 0.48883314707 rad
∠ C' = γ' = 43.74397186178° = 43°44'23″ = 2.37881905498 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.