5 8 9 triangle
Acute scalene triangle.
Sides: a = 5 b = 8 c = 9Area: T = 19.98997487421
Perimeter: p = 22
Semiperimeter: s = 11
Angle ∠ A = α = 33.55773097619° = 33°33'26″ = 0.58656855435 rad
Angle ∠ B = β = 62.18218607153° = 62°10'55″ = 1.08552782045 rad
Angle ∠ C = γ = 84.26108295227° = 84°15'39″ = 1.47106289056 rad
Height: ha = 7.96598994969
Height: hb = 4.97549371855
Height: hc = 4.42221663871
Median: ma = 8.1399410298
Median: mb = 6.08327625303
Median: mc = 4.92444289009
Inradius: r = 1.80990680675
Circumradius: R = 4.52326701687
Vertex coordinates: A[9; 0] B[0; 0] C[2.33333333333; 4.42221663871]
Centroid: CG[3.77877777778; 1.47440554624]
Coordinates of the circumscribed circle: U[4.5; 0.45222670169]
Coordinates of the inscribed circle: I[3; 1.80990680675]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.4432690238° = 146°26'34″ = 0.58656855435 rad
∠ B' = β' = 117.8188139285° = 117°49'5″ = 1.08552782045 rad
∠ C' = γ' = 95.73991704773° = 95°44'21″ = 1.47106289056 rad
Calculate another triangle
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
