# 12 29 29 triangle

### Acute isosceles triangle.

Sides: a = 12   b = 29   c = 29

Area: T = 170.2355131509
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 23.88110879212° = 23°52'52″ = 0.41768036132 rad
Angle ∠ B = β = 78.05994560394° = 78°3'34″ = 1.36223945202 rad
Angle ∠ C = γ = 78.05994560394° = 78°3'34″ = 1.36223945202 rad

Height: ha = 28.37325219182
Height: hb = 11.74403538972
Height: hc = 11.74403538972

Median: ma = 28.37325219182
Median: mb = 16.88002976164
Median: mc = 16.88002976164

Inradius: r = 4.86438609003
Circumradius: R = 14.82106775983

Vertex coordinates: A[29; 0] B[0; 0] C[2.48327586207; 11.74403538972]
Centroid: CG[10.49442528736; 3.91334512991]
Coordinates of the circumscribed circle: U[14.5; 3.06663470893]
Coordinates of the inscribed circle: I[6; 4.86438609003]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.1198912079° = 156°7'8″ = 0.41768036132 rad
∠ B' = β' = 101.9410543961° = 101°56'26″ = 1.36223945202 rad
∠ C' = γ' = 101.9410543961° = 101°56'26″ = 1.36223945202 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.