# 14 23 25 triangle

### Acute scalene triangle.

Sides: a = 14   b = 23   c = 25

Area: T = 159.0477162817
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 33.58773419454° = 33°35'14″ = 0.58662097039 rad
Angle ∠ B = β = 65.34656649255° = 65°20'44″ = 1.14404970049 rad
Angle ∠ C = γ = 81.06769931291° = 81°4'1″ = 1.41548859448 rad

Height: ha = 22.72110232595
Height: hb = 13.8330188071
Height: hc = 12.72437730253

Median: ma = 22.97882505862
Median: mb = 16.68108273176
Median: mc = 14.36114066163

Inradius: r = 5.13105536392
Circumradius: R = 12.65334794105

Vertex coordinates: A[25; 0] B[0; 0] C[5.84; 12.72437730253]
Centroid: CG[10.28; 4.24112576751]
Coordinates of the circumscribed circle: U[12.5; 1.96548259954]
Coordinates of the inscribed circle: I[8; 5.13105536392]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.4132658055° = 146°24'46″ = 0.58662097039 rad
∠ B' = β' = 114.6544335075° = 114°39'16″ = 1.14404970049 rad
∠ C' = γ' = 98.93330068709° = 98°55'59″ = 1.41548859448 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.