# 9 27 28 triangle

### Acute scalene triangle.

Sides: a = 9   b = 27   c = 28

Area: T = 121.3266007105
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 18.721149202° = 18°43'17″ = 0.32767516766 rad
Angle ∠ B = β = 74.34551782964° = 74°20'43″ = 1.29875681443 rad
Angle ∠ C = γ = 86.93333296836° = 86°56' = 1.51772728327 rad

Height: ha = 26.96113349122
Height: hb = 8.98771116374
Height: hc = 8.66661433646

Median: ma = 27.13439271024
Median: mb = 15.81992920196
Median: mc = 14.45768322948

Inradius: r = 3.7911437722
Circumradius: R = 14.02200773156

Vertex coordinates: A[28; 0] B[0; 0] C[2.42985714286; 8.66661433646]
Centroid: CG[10.14328571429; 2.88987144549]
Coordinates of the circumscribed circle: U[14; 0.75500452885]
Coordinates of the inscribed circle: I[5; 3.7911437722]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.279850798° = 161°16'43″ = 0.32767516766 rad
∠ B' = β' = 105.6554821704° = 105°39'17″ = 1.29875681443 rad
∠ C' = γ' = 93.06766703164° = 93°4' = 1.51772728327 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.