10 16 17 triangle
Acute scalene triangle.
Sides: a = 10 b = 16 c = 17Area: T = 78.22768336314
Perimeter: p = 43
Semiperimeter: s = 21.5
Angle ∠ A = α = 35.11334508335° = 35°6'48″ = 0.61328453288 rad
Angle ∠ B = β = 66.97222773387° = 66°58'20″ = 1.16988867471 rad
Angle ∠ C = γ = 77.91442718278° = 77°54'51″ = 1.36598605777 rad
Height: ha = 15.64553667263
Height: hb = 9.77883542039
Height: hc = 9.20331568978
Median: ma = 15.73221327226
Median: mb = 11.42436596588
Median: mc = 10.28334819006
Inradius: r = 3.63884573782
Circumradius: R = 8.69326693621
Vertex coordinates: A[17; 0] B[0; 0] C[3.91217647059; 9.20331568978]
Centroid: CG[6.97105882353; 3.06877189659]
Coordinates of the circumscribed circle: U[8.5; 1.82200276477]
Coordinates of the inscribed circle: I[5.5; 3.63884573782]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.8876549167° = 144°53'12″ = 0.61328453288 rad
∠ B' = β' = 113.0287722661° = 113°1'40″ = 1.16988867471 rad
∠ C' = γ' = 102.0865728172° = 102°5'9″ = 1.36598605777 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
