# 15 23 30 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 23   c = 30

Area: T = 168.5944187326
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 29.25437801209° = 29°15'14″ = 0.51105747818 rad
Angle ∠ B = β = 48.53304268964° = 48°31'50″ = 0.84770157367 rad
Angle ∠ C = γ = 102.2165792983° = 102°12'57″ = 1.78440021351 rad

Height: ha = 22.47992249768
Height: hb = 14.66603641153
Height: hc = 11.24396124884

Median: ma = 25.65663832213
Median: mb = 20.74224685127
Median: mc = 12.32988280059

Inradius: r = 4.95986525684
Circumradius: R = 15.34875042114

Vertex coordinates: A[30; 0] B[0; 0] C[9.93333333333; 11.24396124884]
Centroid: CG[13.31111111111; 3.74765374961]
Coordinates of the circumscribed circle: U[15; -3.24774429201]
Coordinates of the inscribed circle: I[11; 4.95986525684]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.7466219879° = 150°44'46″ = 0.51105747818 rad
∠ B' = β' = 131.4769573104° = 131°28'10″ = 0.84770157367 rad
∠ C' = γ' = 77.78442070173° = 77°47'3″ = 1.78440021351 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.