# 11 23 25 triangle

### Acute scalene triangle.

Sides: a = 11   b = 23   c = 25

Area: T = 126.3465508428
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 26.0769600358° = 26°4'11″ = 0.45550003609 rad
Angle ∠ B = β = 66.76223717562° = 66°45'45″ = 1.16552232036 rad
Angle ∠ C = γ = 87.16880278858° = 87°10'5″ = 1.52113690891 rad

Height: ha = 22.97219106233
Height: hb = 10.98765659503
Height: hc = 10.10876406743

Median: ma = 23.38326859022
Median: mb = 15.51661206492
Median: mc = 12.99903810568

Inradius: r = 4.28328985908
Circumradius: R = 12.51552846324

Vertex coordinates: A[25; 0] B[0; 0] C[4.34; 10.10876406743]
Centroid: CG[9.78; 3.36992135581]
Coordinates of the circumscribed circle: U[12.5; 0.61883441024]
Coordinates of the inscribed circle: I[6.5; 4.28328985908]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.9330399642° = 153°55'49″ = 0.45550003609 rad
∠ B' = β' = 113.2387628244° = 113°14'15″ = 1.16552232036 rad
∠ C' = γ' = 92.83219721142° = 92°49'55″ = 1.52113690891 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.