# 17 20 27 triangle

### Obtuse scalene triangle.

Sides: a = 17   b = 20   c = 27

Area: T = 169.7065627485
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 38.9422441269° = 38°56'33″ = 0.68796738189 rad
Angle ∠ B = β = 47.68552720476° = 47°41'7″ = 0.83222650019 rad
Angle ∠ C = γ = 93.37222866834° = 93°22'20″ = 1.63296538327 rad

Height: ha = 19.96553679394
Height: hb = 16.97105627485
Height: hc = 12.57107872211

Median: ma = 22.18767077323
Median: mb = 20.22437484162
Median: mc = 12.73877392029

Inradius: r = 5.30333008589
Circumradius: R = 13.52334171902

Vertex coordinates: A[27; 0] B[0; 0] C[11.44444444444; 12.57107872211]
Centroid: CG[12.81548148148; 4.1990262407]
Coordinates of the circumscribed circle: U[13.5; -0.79554951288]
Coordinates of the inscribed circle: I[12; 5.30333008589]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.0587558731° = 141°3'27″ = 0.68796738189 rad
∠ B' = β' = 132.3154727952° = 132°18'53″ = 0.83222650019 rad
∠ C' = γ' = 86.62877133166° = 86°37'40″ = 1.63296538327 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.