# 13 24 27 triangle

### Acute scalene triangle.

Sides: a = 13   b = 24   c = 27

Area: T = 155.9498709517
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 28.77218565328° = 28°46'19″ = 0.50221636284 rad
Angle ∠ B = β = 62.69774270485° = 62°41'51″ = 1.09442765345 rad
Angle ∠ C = γ = 88.53107164186° = 88°31'51″ = 1.54551524907 rad

Height: ha = 23.99221091565
Height: hb = 12.99657257931
Height: hc = 11.55217562605

Median: ma = 24.70332386541
Median: mb = 17.46442491966
Median: mc = 13.79331142241

Inradius: r = 4.87333971724
Circumradius: R = 13.50444400593

Vertex coordinates: A[27; 0] B[0; 0] C[5.9632962963; 11.55217562605]
Centroid: CG[10.9887654321; 3.85105854202]
Coordinates of the circumscribed circle: U[13.5; 0.34662676938]
Coordinates of the inscribed circle: I[8; 4.87333971724]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.2288143467° = 151°13'41″ = 0.50221636284 rad
∠ B' = β' = 117.3032572951° = 117°18'9″ = 1.09442765345 rad
∠ C' = γ' = 91.46992835814° = 91°28'9″ = 1.54551524907 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.