# 16 26 28 triangle

### Acute scalene triangle.

Sides: a = 16   b = 26   c = 28

Area: T = 204.6832681241
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 34.21660511313° = 34°12'58″ = 0.59771827493 rad
Angle ∠ B = β = 66.03105176822° = 66°1'50″ = 1.15224499404 rad
Angle ∠ C = γ = 79.75334311865° = 79°45'12″ = 1.3921959964 rad

Height: ha = 25.58553351551
Height: hb = 15.74548216339
Height: hc = 14.62201915172

Median: ma = 25.80769758011
Median: mb = 18.73549939952
Median: mc = 16.43216767252

Inradius: r = 5.84880766069
Circumradius: R = 14.22768998156

Vertex coordinates: A[28; 0] B[0; 0] C[6.5; 14.62201915172]
Centroid: CG[11.5; 4.87333971724]
Coordinates of the circumscribed circle: U[14; 2.53107466018]
Coordinates of the inscribed circle: I[9; 5.84880766069]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.7843948869° = 145°47'2″ = 0.59771827493 rad
∠ B' = β' = 113.9699482318° = 113°58'10″ = 1.15224499404 rad
∠ C' = γ' = 100.2476568814° = 100°14'48″ = 1.3921959964 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.