# 10 27 28 triangle

### Acute scalene triangle.

Sides: a = 10   b = 27   c = 28

Area: T = 134.533043336
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 20.84986512302° = 20°50'55″ = 0.36438776086 rad
Angle ∠ B = β = 73.9321540617° = 73°55'54″ = 1.29903488048 rad
Angle ∠ C = γ = 85.22198081528° = 85°13'11″ = 1.48773662402 rad

Height: ha = 26.9066086672
Height: hb = 9.96552172859
Height: hc = 9.60993166686

Median: ma = 27.04662566726
Median: mb = 16.11767614613
Median: mc = 14.78217454991

Inradius: r = 4.13993979495
Circumradius: R = 14.04988657681

Vertex coordinates: A[28; 0] B[0; 0] C[2.76878571429; 9.60993166686]
Centroid: CG[10.2565952381; 3.20331055562]
Coordinates of the circumscribed circle: U[14; 1.1710738814]
Coordinates of the inscribed circle: I[5.5; 4.13993979495]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.151134877° = 159°9'5″ = 0.36438776086 rad
∠ B' = β' = 106.0688459383° = 106°4'6″ = 1.29903488048 rad
∠ C' = γ' = 94.78801918472° = 94°46'49″ = 1.48773662402 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.