# 16 23 28 triangle

### Acute scalene triangle.

Sides: a = 16   b = 23   c = 28

Area: T = 1843.999830163
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 34.85498677543° = 34°51' = 0.60882449362 rad
Angle ∠ B = β = 55.22879797962° = 55°13'41″ = 0.96439100867 rad
Angle ∠ C = γ = 89.92221524495° = 89°55'20″ = 1.56994376307 rad

Height: ha = 232.9999787704
Height: hb = 165.9999852316
Height: hc = 13.14328450116

Median: ma = 24.34113228893
Median: mb = 19.69113686675
Median: mc = 14.01878457689

Inradius: r = 5.49325322437
Circumradius: R = 144.0000129224

Vertex coordinates: A[28; 0] B[0; 0] C[9.125; 13.14328450116]
Centroid: CG[12.375; 4.38109483372]
Coordinates of the circumscribed circle: U[14; 0.01990217567]
Coordinates of the inscribed circle: I[10.5; 5.49325322437]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.1550132246° = 145°9' = 0.60882449362 rad
∠ B' = β' = 124.7722020204° = 124°46'19″ = 0.96439100867 rad
∠ C' = γ' = 90.07878475505° = 90°4'40″ = 1.56994376307 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.