# 5 29 29 triangle

### Acute isosceles triangle.

Sides: a = 5   b = 29   c = 29

Area: T = 72.2330101066
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 9.89108594358° = 9°53'27″ = 0.1732628063 rad
Angle ∠ B = β = 85.05545702821° = 85°3'16″ = 1.48444822953 rad
Angle ∠ C = γ = 85.05545702821° = 85°3'16″ = 1.48444822953 rad

Height: ha = 28.89220404264
Height: hb = 4.98113862804
Height: hc = 4.98113862804

Median: ma = 28.89220404264
Median: mb = 14.92548115566
Median: mc = 14.92548115566

Inradius: r = 2.29330190815
Circumradius: R = 14.55441814906

Vertex coordinates: A[29; 0] B[0; 0] C[0.43110344828; 4.98113862804]
Centroid: CG[9.81103448276; 1.66604620935]
Coordinates of the circumscribed circle: U[14.5; 1.25546708182]
Coordinates of the inscribed circle: I[2.5; 2.29330190815]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.1099140564° = 170°6'33″ = 0.1732628063 rad
∠ B' = β' = 94.94554297179° = 94°56'44″ = 1.48444822953 rad
∠ C' = γ' = 94.94554297179° = 94°56'44″ = 1.48444822953 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    