# 16 17 30 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 17   c = 30

Area: T = 103.051065502
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 23.83660070776° = 23°50'10″ = 0.4166016804 rad
Angle ∠ B = β = 25.42880757607° = 25°25'41″ = 0.44438036445 rad
Angle ∠ C = γ = 130.7365917162° = 130°44'9″ = 2.28217722051 rad

Height: ha = 12.88113318775
Height: hb = 12.12436064729
Height: hc = 6.8770043668

Median: ma = 23.03325856126
Median: mb = 22.4898886144
Median: mc = 6.8922024376

Inradius: r = 3.27114493657
Circumradius: R = 19.79660895989

Vertex coordinates: A[30; 0] B[0; 0] C[14.45; 6.8770043668]
Centroid: CG[14.81766666667; 2.2990014556]
Coordinates of the circumscribed circle: U[15; -12.91884040581]
Coordinates of the inscribed circle: I[14.5; 3.27114493657]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.1643992922° = 156°9'50″ = 0.4166016804 rad
∠ B' = β' = 154.5721924239° = 154°34'19″ = 0.44438036445 rad
∠ C' = γ' = 49.26440828384° = 49°15'51″ = 2.28217722051 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.