# 3 27 28 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 27   c = 28

Area: T = 38.83329756779
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 5.89765556554° = 5°53'48″ = 0.10329143107 rad
Angle ∠ B = β = 67.60773121946° = 67°36'26″ = 1.18799701962 rad
Angle ∠ C = γ = 106.496613215° = 106°29'46″ = 1.85987081467 rad

Height: ha = 25.88986504519
Height: hb = 2.87765167169
Height: hc = 2.7743783977

Median: ma = 27.46436122897
Median: mb = 14.63772811683
Median: mc = 13.1532946438

Inradius: r = 1.33990681268
Circumradius: R = 14.60109928444

Vertex coordinates: A[28; 0] B[0; 0] C[1.14328571429; 2.7743783977]
Centroid: CG[9.71442857143; 0.9254594659]
Coordinates of the circumscribed circle: U[14; -4.14659609311]
Coordinates of the inscribed circle: I[2; 1.33990681268]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 174.1033444345° = 174°6'12″ = 0.10329143107 rad
∠ B' = β' = 112.3932687805° = 112°23'34″ = 1.18799701962 rad
∠ C' = γ' = 73.504386785° = 73°30'14″ = 1.85987081467 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.