# 9 29 29 triangle

### Acute isosceles triangle.

Sides: a = 9   b = 29   c = 29

Area: T = 128.9199306157
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 17.85435916421° = 17°51'13″ = 0.31216039575 rad
Angle ∠ B = β = 81.0733204179° = 81°4'24″ = 1.41549943481 rad
Angle ∠ C = γ = 81.0733204179° = 81°4'24″ = 1.41549943481 rad

Height: ha = 28.64987347016
Height: hb = 8.89109866315
Height: hc = 8.89109866315

Median: ma = 28.64987347016
Median: mb = 15.83550876221
Median: mc = 15.83550876221

Inradius: r = 3.84883374972
Circumradius: R = 14.67877861005

Vertex coordinates: A[29; 0] B[0; 0] C[1.39765517241; 8.89109866315]
Centroid: CG[10.1322183908; 2.96436622105]
Coordinates of the circumscribed circle: U[14.5; 2.27875874984]
Coordinates of the inscribed circle: I[4.5; 3.84883374972]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.1466408358° = 162°8'47″ = 0.31216039575 rad
∠ B' = β' = 98.9276795821° = 98°55'36″ = 1.41549943481 rad
∠ C' = γ' = 98.9276795821° = 98°55'36″ = 1.41549943481 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.