# 15 16 30 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 16   c = 30

Area: T = 58.54443208177
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 14.11988847899° = 14°7'8″ = 0.24664210263 rad
Angle ∠ B = β = 15.08217506421° = 15°4'54″ = 0.26332262057 rad
Angle ∠ C = γ = 150.7999364568° = 150°47'58″ = 2.63219454216 rad

Height: ha = 7.80659094424
Height: hb = 7.31880401022
Height: hc = 3.90329547212

Median: ma = 22.8421847561
Median: mb = 22.32771135618
Median: mc = 3.9377003937

Inradius: r = 1.91994859284
Circumradius: R = 30.74659370074

Vertex coordinates: A[30; 0] B[0; 0] C[14.48333333333; 3.90329547212]
Centroid: CG[14.82877777778; 1.30109849071]
Coordinates of the circumscribed circle: U[15; -26.8398640846]
Coordinates of the inscribed circle: I[14.5; 1.91994859284]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.881111521° = 165°52'52″ = 0.24664210263 rad
∠ B' = β' = 164.9188249358° = 164°55'6″ = 0.26332262057 rad
∠ C' = γ' = 29.2010635432° = 29°12'2″ = 2.63219454216 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.