# 4 27 28 triangle

### Obtuse scalene triangle.

Sides: a = 4   b = 27   c = 28

Area: T = 53.11224985291
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 8.07773157229° = 8°4'38″ = 0.14109757541 rad
Angle ∠ B = β = 71.52105632681° = 71°31'14″ = 1.24882693119 rad
Angle ∠ C = γ = 100.4022121009° = 100°24'8″ = 1.75223475876 rad

Height: ha = 26.55662492645
Height: hb = 3.93442591503
Height: hc = 3.79437498949

Median: ma = 27.43217334487
Median: mb = 14.75663545634
Median: mc = 13.28553302556

Inradius: r = 1.8800423679
Circumradius: R = 14.23439377912

Vertex coordinates: A[28; 0] B[0; 0] C[1.26878571429; 3.79437498949]
Centroid: CG[9.7565952381; 1.26545832983]
Coordinates of the circumscribed circle: U[14; -2.57700165456]
Coordinates of the inscribed circle: I[2.5; 1.8800423679]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.9232684277° = 171°55'22″ = 0.14109757541 rad
∠ B' = β' = 108.4799436732° = 108°28'46″ = 1.24882693119 rad
∠ C' = γ' = 79.5987878991° = 79°35'52″ = 1.75223475876 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.