# 11 17 27 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 17   c = 27

Area: T = 48.80876582106
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 12.27988398395° = 12°16'44″ = 0.21443061835 rad
Angle ∠ B = β = 19.18881364537° = 19°11'17″ = 0.33548961584 rad
Angle ∠ C = γ = 148.5333023707° = 148°31'59″ = 2.59223903116 rad

Height: ha = 8.87441196746
Height: hb = 5.74220774365
Height: hc = 3.61553820897

Median: ma = 21.8880356487
Median: mb = 18.7821639971
Median: mc = 4.77696960071

Inradius: r = 1.77548239349
Circumradius: R = 25.86217201947

Vertex coordinates: A[27; 0] B[0; 0] C[10.38988888889; 3.61553820897]
Centroid: CG[12.4632962963; 1.20551273632]
Coordinates of the circumscribed circle: U[13.5; -22.05985260484]
Coordinates of the inscribed circle: I[10.5; 1.77548239349]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.721116016° = 167°43'16″ = 0.21443061835 rad
∠ B' = β' = 160.8121863546° = 160°48'43″ = 0.33548961584 rad
∠ C' = γ' = 31.46769762933° = 31°28'1″ = 2.59223903116 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.