# 2 15 15 triangle

### Acute isosceles triangle.

Sides: a = 2   b = 15   c = 15

Area: T = 14.96766295471
Perimeter: p = 32
Semiperimeter: s = 16

Angle ∠ A = α = 7.64551074586° = 7°38'42″ = 0.13334322968 rad
Angle ∠ B = β = 86.17774462707° = 86°10'39″ = 1.50440801784 rad
Angle ∠ C = γ = 86.17774462707° = 86°10'39″ = 1.50440801784 rad

Height: ha = 14.96766295471
Height: hb = 1.99655506063
Height: hc = 1.99655506063

Median: ma = 14.96766295471
Median: mb = 7.63221687612
Median: mc = 7.63221687612

Inradius: r = 0.93554143467
Circumradius: R = 7.51767224288

Vertex coordinates: A[15; 0] B[0; 0] C[0.13333333333; 1.99655506063]
Centroid: CG[5.04444444444; 0.66551835354]
Coordinates of the circumscribed circle: U[7.5; 0.50111148286]
Coordinates of the inscribed circle: I[1; 0.93554143467]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.3554892541° = 172°21'18″ = 0.13334322968 rad
∠ B' = β' = 93.82325537293° = 93°49'21″ = 1.50440801784 rad
∠ C' = γ' = 93.82325537293° = 93°49'21″ = 1.50440801784 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.