# 14 18 27 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 18   c = 27

Area: T = 114.6565734702
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 28.15334308856° = 28°9'12″ = 0.49113700647 rad
Angle ∠ B = β = 37.34772430261° = 37°20'50″ = 0.65218323573 rad
Angle ∠ C = γ = 114.4999326088° = 114°29'58″ = 1.99883902316 rad

Height: ha = 16.37993906717
Height: hb = 12.7439526078
Height: hc = 8.49330173853

Median: ma = 21.85217733834
Median: mb = 19.53220249846
Median: mc = 8.81875960443

Inradius: r = 3.88766350746
Circumradius: R = 14.83657167169

Vertex coordinates: A[27; 0] B[0; 0] C[11.13296296296; 8.49330173853]
Centroid: CG[12.71098765432; 2.83110057951]
Coordinates of the circumscribed circle: U[13.5; -6.15221126862]
Coordinates of the inscribed circle: I[11.5; 3.88766350746]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.8476569114° = 151°50'48″ = 0.49113700647 rad
∠ B' = β' = 142.6532756974° = 142°39'10″ = 0.65218323573 rad
∠ C' = γ' = 65.50106739117° = 65°30'2″ = 1.99883902316 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.