# 10 15 16 triangle

### Acute scalene triangle.

Sides: a = 10   b = 15   c = 16

Area: T = 72.98992971606
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 37.46326510725° = 37°27'46″ = 0.65438466077 rad
Angle ∠ B = β = 65.83444206747° = 65°50'4″ = 1.14990274019 rad
Angle ∠ C = γ = 76.70329282528° = 76°42'11″ = 1.33987186439 rad

Height: ha = 14.59878594321
Height: hb = 9.73219062881
Height: hc = 9.12436621451

Median: ma = 14.68799182559
Median: mb = 11.03440382454
Median: mc = 9.92547166206

Inradius: r = 3.566045352
Circumradius: R = 8.22203833074

Vertex coordinates: A[16; 0] B[0; 0] C[4.094375; 9.12436621451]
Centroid: CG[6.69879166667; 3.0411220715]
Coordinates of the circumscribed circle: U[8; 1.89106881607]
Coordinates of the inscribed circle: I[5.5; 3.566045352]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.5377348927° = 142°32'14″ = 0.65438466077 rad
∠ B' = β' = 114.1665579325° = 114°9'56″ = 1.14990274019 rad
∠ C' = γ' = 103.2977071747° = 103°17'49″ = 1.33987186439 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.