# 13 17 27 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 17   c = 27

Area: T = 87.29436853386
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 22.35662712474° = 22°21'23″ = 0.39901905417 rad
Angle ∠ B = β = 29.82881284312° = 29°49'41″ = 0.52105990508 rad
Angle ∠ C = γ = 127.8165600321° = 127°48'56″ = 2.2310803061 rad

Height: ha = 13.43297977444
Height: hb = 10.2769845334
Height: hc = 6.4666198914

Median: ma = 21.60443977005
Median: mb = 19.41100489438
Median: mc = 6.83773971656

Inradius: r = 3.06329363277
Circumradius: R = 17.0898864953

Vertex coordinates: A[27; 0] B[0; 0] C[11.27877777778; 6.4666198914]
Centroid: CG[12.75992592593; 2.1555399638]
Coordinates of the circumscribed circle: U[13.5; -10.47875619961]
Coordinates of the inscribed circle: I[11.5; 3.06329363277]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.6443728753° = 157°38'37″ = 0.39901905417 rad
∠ B' = β' = 150.1721871569° = 150°10'19″ = 0.52105990508 rad
∠ C' = γ' = 52.18443996786° = 52°11'4″ = 2.2310803061 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.