# 16 23 30 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 23   c = 30

Area: T = 181.7440027237
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 31.78883306171° = 31°47'18″ = 0.5554811033 rad
Angle ∠ B = β = 49.22223700378° = 49°13'21″ = 0.85990924228 rad
Angle ∠ C = γ = 98.98992993452° = 98°59'21″ = 1.72876891978 rad

Height: ha = 22.71875034046
Height: hb = 15.80334806293
Height: hc = 12.11660018158

Median: ma = 25.50549014897
Median: mb = 21.11327923307
Median: mc = 12.94221791055

Inradius: r = 5.26878268764
Circumradius: R = 15.1876527932

Vertex coordinates: A[30; 0] B[0; 0] C[10.45; 12.11660018158]
Centroid: CG[13.48333333333; 4.03986672719]
Coordinates of the circumscribed circle: U[15; -2.37328949894]
Coordinates of the inscribed circle: I[11.5; 5.26878268764]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.2121669383° = 148°12'42″ = 0.5554811033 rad
∠ B' = β' = 130.7787629962° = 130°46'39″ = 0.85990924228 rad
∠ C' = γ' = 81.01107006548° = 81°39″ = 1.72876891978 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.