# 6 24 25 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 24   c = 25

Area: T = 71.92766119041
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 13.8722102735° = 13°52'20″ = 0.24221138669 rad
Angle ∠ B = β = 73.54107503717° = 73°32'27″ = 1.28435282284 rad
Angle ∠ C = γ = 92.58771468932° = 92°35'14″ = 1.61659505583 rad

Height: ha = 23.97655373014
Height: hb = 5.99438843253
Height: hc = 5.75441289523

Median: ma = 24.3210773014
Median: mb = 13.65765002837
Median: mc = 12.23772382505

Inradius: r = 2.61655131601
Circumradius: R = 12.51327539887

Vertex coordinates: A[25; 0] B[0; 0] C[1.7; 5.75441289523]
Centroid: CG[8.9; 1.91880429841]
Coordinates of the circumscribed circle: U[12.5; -0.5654811812]
Coordinates of the inscribed circle: I[3.5; 2.61655131601]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.1287897265° = 166°7'40″ = 0.24221138669 rad
∠ B' = β' = 106.4599249628° = 106°27'33″ = 1.28435282284 rad
∠ C' = γ' = 87.41328531068° = 87°24'46″ = 1.61659505583 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.