# 10 16 17 triangle

### Acute scalene triangle.

Sides: a = 10   b = 16   c = 17

Area: 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

# 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.