# 3 15 16 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 15   c = 16

Area: T = 21.81774242293
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 10.47553138432° = 10°28'31″ = 0.18328287167 rad
Angle ∠ B = β = 65.37656816478° = 65°22'32″ = 1.14110208955 rad
Angle ∠ C = γ = 104.1499004509° = 104°8'56″ = 1.81877430414 rad

Height: ha = 14.54549494862
Height: hb = 2.90989898972
Height: hc = 2.72771780287

Median: ma = 15.43553490404
Median: mb = 8.73221245983
Median: mc = 7.28801098893

Inradius: r = 1.28333778958
Circumradius: R = 8.25502864733

Vertex coordinates: A[16; 0] B[0; 0] C[1.25; 2.72771780287]
Centroid: CG[5.75; 0.90990593429]
Coordinates of the circumscribed circle: U[8; -2.01767366935]
Coordinates of the inscribed circle: I[2; 1.28333778958]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.5254686157° = 169°31'29″ = 0.18328287167 rad
∠ B' = β' = 114.6244318352° = 114°37'28″ = 1.14110208955 rad
∠ C' = γ' = 75.85109954911° = 75°51'4″ = 1.81877430414 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.