# 17 24 27 triangle

### Acute scalene triangle.

Sides: a = 17   b = 24   c = 27

Area: T = 201.1476712625
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 38.37662729074° = 38°22'35″ = 0.67697923169 rad
Angle ∠ B = β = 61.21877953194° = 61°13'4″ = 1.06884520891 rad
Angle ∠ C = γ = 80.40659317731° = 80°24'21″ = 1.40333482476 rad

Height: ha = 23.66443191324
Height: hb = 16.76222260521
Height: hc = 14.98997564908

Median: ma = 24.08883789409
Median: mb = 19.10549731745
Median: mc = 15.81992920196

Inradius: r = 5.91660797831
Circumradius: R = 13.69114989266

Vertex coordinates: A[27; 0] B[0; 0] C[8.18551851852; 14.98997564908]
Centroid: CG[11.72883950617; 4.96765854969]
Coordinates of the circumscribed circle: U[13.5; 2.28219164878]
Coordinates of the inscribed circle: I[10; 5.91660797831]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.6243727093° = 141°37'25″ = 0.67697923169 rad
∠ B' = β' = 118.7822204681° = 118°46'56″ = 1.06884520891 rad
∠ C' = γ' = 99.59440682269° = 99°35'39″ = 1.40333482476 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.