# 6 15 16 triangle

### Acute scalene triangle.

Sides: a = 6   b = 15   c = 16

Area: T = 44.98326355386
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 22.01553695404° = 22°55″ = 0.38442406845 rad
Angle ∠ B = β = 69.57663846362° = 69°34'35″ = 1.21443369935 rad
Angle ∠ C = γ = 88.40882458234° = 88°24'30″ = 1.54330149755 rad

Height: ha = 14.99442118462
Height: hb = 5.99876847385
Height: hc = 5.62328294423

Median: ma = 15.21551240547
Median: mb = 9.47436476607
Median: mc = 8.15547532152

Inradius: r = 2.43114938129
Circumradius: R = 8.0033088207

Vertex coordinates: A[16; 0] B[0; 0] C[2.094375; 5.62328294423]
Centroid: CG[6.031125; 1.87442764808]
Coordinates of the circumscribed circle: U[8; 0.22223080058]
Coordinates of the inscribed circle: I[3.5; 2.43114938129]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.985463046° = 157°59'5″ = 0.38442406845 rad
∠ B' = β' = 110.4243615364° = 110°25'25″ = 1.21443369935 rad
∠ C' = γ' = 91.59217541766° = 91°35'30″ = 1.54330149755 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.