# 14 15 15 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 15   c = 15

Area: T = 92.865549413
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 55.63662785693° = 55°38'11″ = 0.97110362446 rad
Angle ∠ B = β = 62.18218607153° = 62°10'55″ = 1.08552782045 rad
Angle ∠ C = γ = 62.18218607153° = 62°10'55″ = 1.08552782045 rad

Height: ha = 13.26664991614
Height: hb = 12.3822065884
Height: hc = 12.3822065884

Median: ma = 13.26664991614
Median: mb = 12.42197423484
Median: mc = 12.42197423484

Inradius: r = 4.22111588241
Circumradius: R = 8.48800065662

Vertex coordinates: A[15; 0] B[0; 0] C[6.53333333333; 12.3822065884]
Centroid: CG[7.17877777778; 4.12773552947]
Coordinates of the circumscribed circle: U[7.5; 3.95773363976]
Coordinates of the inscribed circle: I[7; 4.22111588241]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.3643721431° = 124°21'49″ = 0.97110362446 rad
∠ B' = β' = 117.8188139285° = 117°49'5″ = 1.08552782045 rad
∠ C' = γ' = 117.8188139285° = 117°49'5″ = 1.08552782045 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.