# 15 23 25 triangle

### Acute scalene triangle.

Sides: a = 15   b = 23   c = 25

Area: T = 169.4598512622
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 36.11659252263° = 36°6'57″ = 0.63303418076 rad
Angle ∠ B = β = 64.65992980761° = 64°39'33″ = 1.12985176435 rad
Angle ∠ C = γ = 79.22547766976° = 79°13'29″ = 1.38327332025 rad

Height: ha = 22.59444683496
Height: hb = 14.73655228367
Height: hc = 13.55766810097

Median: ma = 22.82199474145
Median: mb = 17.11099386323
Median: mc = 14.85876579581

Inradius: r = 5.38796353213
Circumradius: R = 12.72443533927

Vertex coordinates: A[25; 0] B[0; 0] C[6.42; 13.55766810097]
Centroid: CG[10.47333333333; 4.51988936699]
Coordinates of the circumscribed circle: U[12.5; 2.37989008517]
Coordinates of the inscribed circle: I[8.5; 5.38796353213]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.8844074774° = 143°53'3″ = 0.63303418076 rad
∠ B' = β' = 115.3410701924° = 115°20'27″ = 1.12985176435 rad
∠ C' = γ' = 100.7755223302° = 100°46'31″ = 1.38327332025 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.