# 7 27 28 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 27   c = 28

Area: T = 94.48880944881
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 14.47656484197° = 14°28'32″ = 0.25326477263 rad
Angle ∠ B = β = 74.61548565683° = 74°36'53″ = 1.3022274918 rad
Angle ∠ C = γ = 90.9099495012° = 90°54'34″ = 1.58766700093 rad

Height: ha = 26.99765984252
Height: hb = 6.99991181102
Height: hc = 6.74991496063

Median: ma = 27.28109457314
Median: mb = 15.3055227865
Median: mc = 13.89224439894

Inradius: r = 3.0488003048
Circumradius: R = 14.00217640018

Vertex coordinates: A[28; 0] B[0; 0] C[1.85771428571; 6.74991496063]
Centroid: CG[9.95223809524; 2.25497165354]
Coordinates of the circumscribed circle: U[14; -0.22222502223]
Coordinates of the inscribed circle: I[4; 3.0488003048]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.524435158° = 165°31'28″ = 0.25326477263 rad
∠ B' = β' = 105.3855143432° = 105°23'7″ = 1.3022274918 rad
∠ C' = γ' = 89.0910504988° = 89°5'26″ = 1.58766700093 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.