# 7 29 29 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 29   c = 29

Area: T = 100.7588064193
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 13.86438123952° = 13°51'50″ = 0.24219691732 rad
Angle ∠ B = β = 83.06880938024° = 83°4'5″ = 1.45498117402 rad
Angle ∠ C = γ = 83.06880938024° = 83°4'5″ = 1.45498117402 rad

Height: ha = 28.7888018341
Height: hb = 6.94988320133
Height: hc = 6.94988320133

Median: ma = 28.7888018341
Median: mb = 15.3221553446
Median: mc = 15.3221553446

Inradius: r = 3.1100248129
Circumradius: R = 14.6076771297

Vertex coordinates: A[29; 0] B[0; 0] C[0.84548275862; 6.94988320133]
Centroid: CG[9.94882758621; 2.31662773378]
Coordinates of the circumscribed circle: U[14.5; 1.7632886191]
Coordinates of the inscribed circle: I[3.5; 3.1100248129]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.1366187605° = 166°8'10″ = 0.24219691732 rad
∠ B' = β' = 96.93219061976° = 96°55'55″ = 1.45498117402 rad
∠ C' = γ' = 96.93219061976° = 96°55'55″ = 1.45498117402 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    