# 9 23 27 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 23   c = 27

Area: T = 99.13221718717
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 18.61985568494° = 18°37'7″ = 0.3254955119 rad
Angle ∠ B = β = 54.67767118042° = 54°40'36″ = 0.95442886451 rad
Angle ∠ C = γ = 106.7054731346° = 106°42'17″ = 1.86223488895 rad

Height: ha = 22.0299371527
Height: hb = 8.62201888584
Height: hc = 7.34331238423

Median: ma = 24.6732859583
Median: mb = 16.51551445649
Median: mc = 11.07992599031

Inradius: r = 3.36604126058
Circumradius: R = 14.09548188022

Vertex coordinates: A[27; 0] B[0; 0] C[5.20437037037; 7.34331238423]
Centroid: CG[10.73545679012; 2.44877079474]
Coordinates of the circumscribed circle: U[13.5; -4.05114092692]
Coordinates of the inscribed circle: I[6.5; 3.36604126058]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.3811443151° = 161°22'53″ = 0.3254955119 rad
∠ B' = β' = 125.3233288196° = 125°19'24″ = 0.95442886451 rad
∠ C' = γ' = 73.29552686536° = 73°17'43″ = 1.86223488895 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.