# 29 29 30 triangle

### Acute isosceles triangle.

Sides: a = 29   b = 29   c = 30

Area: T = 372.299020938
Perimeter: p = 88
Semiperimeter: s = 44

Angle ∠ A = α = 58.85326100785° = 58°51'9″ = 1.02771718193 rad
Angle ∠ B = β = 58.85326100785° = 58°51'9″ = 1.02771718193 rad
Angle ∠ C = γ = 62.2954779843° = 62°17'41″ = 1.08772490151 rad

Height: ha = 25.67551868538
Height: hb = 25.67551868538
Height: hc = 24.8199347292

Median: ma = 25.69553303151
Median: mb = 25.69553303151
Median: mc = 24.8199347292

Inradius: r = 8.46111411223
Circumradius: R = 16.94224278186

Vertex coordinates: A[30; 0] B[0; 0] C[15; 24.8199347292]
Centroid: CG[15; 8.2733115764]
Coordinates of the circumscribed circle: U[15; 7.87769194733]
Coordinates of the inscribed circle: I[15; 8.46111411223]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.1477389922° = 121°8'51″ = 1.02771718193 rad
∠ B' = β' = 121.1477389922° = 121°8'51″ = 1.02771718193 rad
∠ C' = γ' = 117.7055220157° = 117°42'19″ = 1.08772490151 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    