# 21 22 27 triangle

### Acute scalene triangle.

Sides: a = 21   b = 22   c = 27

Area: T = 225.7433216952
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 49.47110898048° = 49°28'16″ = 0.86334334016 rad
Angle ∠ B = β = 52.77655999225° = 52°46'32″ = 0.92111079834 rad
Angle ∠ C = γ = 77.75333102727° = 77°45'12″ = 1.35770512686 rad

Height: ha = 21.49993539955
Height: hb = 20.5222110632
Height: hc = 16.72217197742

Median: ma = 22.27766694099
Median: mb = 21.54106592285
Median: mc = 16.74106690428

Inradius: r = 6.45498061986
Circumradius: R = 13.81443685649

Vertex coordinates: A[27; 0] B[0; 0] C[12.70437037037; 16.72217197742]
Centroid: CG[13.23545679012; 5.57439065914]
Coordinates of the circumscribed circle: U[13.5; 2.93303206047]
Coordinates of the inscribed circle: I[13; 6.45498061986]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.5298910195° = 130°31'44″ = 0.86334334016 rad
∠ B' = β' = 127.2244400078° = 127°13'28″ = 0.92111079834 rad
∠ C' = γ' = 102.2476689727° = 102°14'48″ = 1.35770512686 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.