# 18 24 25 triangle

### Acute scalene triangle.

Sides: a = 18   b = 24   c = 25

Area: T = 204.7676788079
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 43.04436991107° = 43°2'37″ = 0.75112542717 rad
Angle ∠ B = β = 65.51656646223° = 65°30'56″ = 1.14334640593 rad
Angle ∠ C = γ = 71.4410636267° = 71°26'26″ = 1.24768743226 rad

Height: ha = 22.75218653421
Height: hb = 17.06438990065
Height: hc = 16.38113430463

Median: ma = 22.79325426401
Median: mb = 18.18796589627
Median: mc = 17.1399136501

Inradius: r = 6.11224414352
Circumradius: R = 13.18657320483

Vertex coordinates: A[25; 0] B[0; 0] C[7.46; 16.38113430463]
Centroid: CG[10.82; 5.46604476821]
Coordinates of the circumscribed circle: U[12.5; 4.19768475848]
Coordinates of the inscribed circle: I[9.5; 6.11224414352]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.9566300889° = 136°57'23″ = 0.75112542717 rad
∠ B' = β' = 114.4844335378° = 114°29'4″ = 1.14334640593 rad
∠ C' = γ' = 108.5599363733° = 108°33'34″ = 1.24768743226 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.