# 17 22 27 triangle

### Acute scalene triangle.

Sides: a = 17   b = 22   c = 27

Area: T = 186.6766190233
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 38.9422441269° = 38°56'33″ = 0.68796738189 rad
Angle ∠ B = β = 54.43298454145° = 54°25'47″ = 0.95499800138 rad
Angle ∠ C = γ = 86.62877133166° = 86°37'40″ = 1.51219388208 rad

Height: ha = 21.96219047333
Height: hb = 16.97105627485
Height: hc = 13.82878659432

Median: ma = 23.11438486627
Median: mb = 19.69877156036
Median: mc = 14.2921605928

Inradius: r = 5.65768542495
Circumradius: R = 13.52334171902

Vertex coordinates: A[27; 0] B[0; 0] C[9.88988888889; 13.82878659432]
Centroid: CG[12.29662962963; 4.60992886477]
Coordinates of the circumscribed circle: U[13.5; 0.79554951288]
Coordinates of the inscribed circle: I[11; 5.65768542495]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.0587558731° = 141°3'27″ = 0.68796738189 rad
∠ B' = β' = 125.5770154586° = 125°34'13″ = 0.95499800138 rad
∠ C' = γ' = 93.37222866834° = 93°22'20″ = 1.51219388208 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.