# 14 27 30 triangle

### Acute scalene triangle.

Sides: a = 14   b = 27   c = 30

Area: T = 188.8976631786
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 27.80216061009° = 27°48'6″ = 0.48552295638 rad
Angle ∠ B = β = 64.09334410961° = 64°5'36″ = 1.11986415761 rad
Angle ∠ C = γ = 88.10549528031° = 88°6'18″ = 1.53877215137 rad

Height: ha = 26.98552331122
Height: hb = 13.99223430952
Height: hc = 12.59331087857

Median: ma = 27.66876706645
Median: mb = 19.12545914989
Median: mc = 15.41110350074

Inradius: r = 5.32110318813
Circumradius: R = 15.00882083158

Vertex coordinates: A[30; 0] B[0; 0] C[6.11766666667; 12.59331087857]
Centroid: CG[12.03988888889; 4.19877029286]
Coordinates of the circumscribed circle: U[15; 0.4966303185]
Coordinates of the inscribed circle: I[8.5; 5.32110318813]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.1988393899° = 152°11'54″ = 0.48552295638 rad
∠ B' = β' = 115.9076558904° = 115°54'24″ = 1.11986415761 rad
∠ C' = γ' = 91.89550471969° = 91°53'42″ = 1.53877215137 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.