# 14 26 27 triangle

### Acute scalene triangle.

Sides: a = 14   b = 26   c = 27

Area: T = 178.4544300873
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 30.55884317859° = 30°33'30″ = 0.53333452489 rad
Angle ∠ B = β = 70.77697570661° = 70°46'11″ = 1.23551652716 rad
Angle ∠ C = γ = 78.67218111479° = 78°40'19″ = 1.3733082133 rad

Height: ha = 25.49334715533
Height: hb = 13.72772539133
Height: hc = 13.21988371017

Median: ma = 25.56436460623
Median: mb = 17.1321841699
Median: mc = 15.93295323221

Inradius: r = 5.32769940559
Circumradius: R = 13.76882307906

Vertex coordinates: A[27; 0] B[0; 0] C[4.61111111111; 13.21988371017]
Centroid: CG[10.5377037037; 4.40662790339]
Coordinates of the circumscribed circle: U[13.5; 2.70444739053]
Coordinates of the inscribed circle: I[7.5; 5.32769940559]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.4421568214° = 149°26'30″ = 0.53333452489 rad
∠ B' = β' = 109.2330242934° = 109°13'49″ = 1.23551652716 rad
∠ C' = γ' = 101.3288188852° = 101°19'41″ = 1.3733082133 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.