# 15 29 29 triangle

### Acute isosceles triangle.

Sides: a = 15   b = 29   c = 29

Area: T = 210.1100422417
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 29.97664689646° = 29°58'35″ = 0.52331880816 rad
Angle ∠ B = β = 75.01217655177° = 75°42″ = 1.3099202286 rad
Angle ∠ C = γ = 75.01217655177° = 75°42″ = 1.3099202286 rad

Height: ha = 28.01333896557
Height: hb = 14.49896843047
Height: hc = 14.49896843047

Median: ma = 28.01333896557
Median: mb = 17.96552442232
Median: mc = 17.96552442232

Inradius: r = 5.75661759566
Circumradius: R = 15.01106790063

Vertex coordinates: A[29; 0] B[0; 0] C[3.87993103448; 14.49896843047]
Centroid: CG[10.96597701149; 4.83298947682]
Coordinates of the circumscribed circle: U[14.5; 3.88220721568]
Coordinates of the inscribed circle: I[7.5; 5.75661759566]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0243531035° = 150°1'25″ = 0.52331880816 rad
∠ B' = β' = 104.9888234482° = 104°59'18″ = 1.3099202286 rad
∠ C' = γ' = 104.9888234482° = 104°59'18″ = 1.3099202286 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.