# 13 23 25 triangle

### Acute scalene triangle.

Sides: a = 13   b = 23   c = 25

Area: T = 148.3821897481
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 31.07217412281° = 31°4'18″ = 0.54223041888 rad
Angle ∠ B = β = 65.94400486139° = 65°56'24″ = 1.15108709572 rad
Angle ∠ C = γ = 82.9888210158° = 82°59'18″ = 1.44884175076 rad

Height: ha = 22.82879842278
Height: hb = 12.9032773694
Height: hc = 11.87105517985

Median: ma = 23.12546621597
Median: mb = 16.27111400953
Median: mc = 13.88334433769

Inradius: r = 4.86549802453
Circumradius: R = 12.59441912843

Vertex coordinates: A[25; 0] B[0; 0] C[5.3; 11.87105517985]
Centroid: CG[10.1; 3.95768505995]
Coordinates of the circumscribed circle: U[12.5; 1.53774179996]
Coordinates of the inscribed circle: I[7.5; 4.86549802453]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.9288258772° = 148°55'42″ = 0.54223041888 rad
∠ B' = β' = 114.0659951386° = 114°3'36″ = 1.15108709572 rad
∠ C' = γ' = 97.0121789842° = 97°42″ = 1.44884175076 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.