# 15 24 27 triangle

### Acute scalene triangle.

Sides: a = 15   b = 24   c = 27

Area: T = 179.0987738679
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 33.55773097619° = 33°33'26″ = 0.58656855435 rad
Angle ∠ B = β = 62.18218607153° = 62°10'55″ = 1.08552782045 rad
Angle ∠ C = γ = 84.26108295227° = 84°15'39″ = 1.47106289056 rad

Height: ha = 23.88796984906
Height: hb = 14.92548115566
Height: hc = 13.26664991614

Median: ma = 24.41882308941
Median: mb = 18.24882875909
Median: mc = 14.77332867027

Inradius: r = 5.42772042024
Circumradius: R = 13.5688010506

Vertex coordinates: A[27; 0] B[0; 0] C[7; 13.26664991614]
Centroid: CG[11.33333333333; 4.42221663871]
Coordinates of the circumscribed circle: U[13.5; 1.35768010506]
Coordinates of the inscribed circle: I[9; 5.42772042024]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.4432690238° = 146°26'34″ = 0.58656855435 rad
∠ B' = β' = 117.8188139285° = 117°49'5″ = 1.08552782045 rad
∠ C' = γ' = 95.73991704773° = 95°44'21″ = 1.47106289056 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.