# 922 260 885 triangle

### Acute scalene triangle.

Sides: a = 922   b = 260   c = 885

Area: T = 115049.8510858
Perimeter: p = 2067
Semiperimeter: s = 1033.5

Angle ∠ A = α = 89.9087744044° = 89°54'28″ = 1.56991861566 rad
Angle ∠ B = β = 16.37993263723° = 16°22'46″ = 0.28658731745 rad
Angle ∠ C = γ = 73.71329295837° = 73°42'47″ = 1.28765333225 rad

Height: ha = 249.5665837002
Height: hb = 884.9998852754
Height: hc = 2609.999662956

Median: ma = 461.4021668831
Median: mb = 894.2989941797
Median: mc = 512.8770110262

Inradius: r = 111.3210610409
Circumradius: R = 461.0010597606

Vertex coordinates: A[885; 0] B[0; 0] C[884.5811355932; 2609.999662956]
Centroid: CG[589.8660451977; 86.66765543186]
Coordinates of the circumscribed circle: U[442.5; 129.2887667599]
Coordinates of the inscribed circle: I[773.5; 111.3210610409]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90.0922255956° = 90°5'32″ = 1.56991861566 rad
∠ B' = β' = 163.6210673628° = 163°37'14″ = 0.28658731745 rad
∠ C' = γ' = 106.2877070416° = 106°17'13″ = 1.28765333225 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    