# 5 15 16 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 15   c = 16

Area: T = 37.47699879904
Perimeter: p = 36
Semiperimeter: s = 18

Angle ∠ A = α = 18.19548723388° = 18°11'42″ = 0.31875604293 rad
Angle ∠ B = β = 69.51326848853° = 69°30'46″ = 1.21332252231 rad
Angle ∠ C = γ = 92.2922442776° = 92°17'33″ = 1.61108070011 rad

Height: ha = 14.98879951962
Height: hb = 4.99659983987
Height: hc = 4.68437484988

Median: ma = 15.3055227865
Median: mb = 9.17987798753
Median: mc = 7.81102496759

Inradius: r = 2.08216659995
Circumradius: R = 8.00664076903

Vertex coordinates: A[16; 0] B[0; 0] C[1.75; 4.68437484988]
Centroid: CG[5.91766666667; 1.56112494996]
Coordinates of the circumscribed circle: U[8; -0.32202563076]
Coordinates of the inscribed circle: I[3; 2.08216659995]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.8055127661° = 161°48'18″ = 0.31875604293 rad
∠ B' = β' = 110.4877315115° = 110°29'14″ = 1.21332252231 rad
∠ C' = γ' = 87.7087557224° = 87°42'27″ = 1.61108070011 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.