# 10 12 16 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 12   c = 16

Area: T = 59.92549530663
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 38.62548328731° = 38°37'29″ = 0.67441305067 rad
Angle ∠ B = β = 48.50991831443° = 48°30'33″ = 0.84766449633 rad
Angle ∠ C = γ = 92.86659839826° = 92°51'58″ = 1.62108171836 rad

Height: ha = 11.98549906133
Height: hb = 9.98774921777
Height: hc = 7.49106191333

Median: ma = 13.22987565553
Median: mb = 11.91663752878
Median: mc = 7.61657731059

Inradius: r = 3.15439448982
Circumradius: R = 8.01100187891

Vertex coordinates: A[16; 0] B[0; 0] C[6.625; 7.49106191333]
Centroid: CG[7.54216666667; 2.49768730444]
Coordinates of the circumscribed circle: U[8; -0.40105009395]
Coordinates of the inscribed circle: I[7; 3.15439448982]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.3755167127° = 141°22'31″ = 0.67441305067 rad
∠ B' = β' = 131.4910816856° = 131°29'27″ = 0.84766449633 rad
∠ C' = γ' = 87.13440160174° = 87°8'2″ = 1.62108171836 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.