# 29 30 30 triangle

### Acute isosceles triangle.

Sides: a = 29   b = 30   c = 30

Area: T = 380.8154833613
Perimeter: p = 89
Semiperimeter: s = 44.5

Angle ∠ A = α = 57.80766690797° = 57°48'24″ = 1.00989167051 rad
Angle ∠ B = β = 61.09766654602° = 61°5'48″ = 1.06663379743 rad
Angle ∠ C = γ = 61.09766654602° = 61°5'48″ = 1.06663379743 rad

Height: ha = 26.26330919733
Height: hb = 25.38876555742
Height: hc = 25.38876555742

Median: ma = 26.26330919733
Median: mb = 25.40766920318
Median: mc = 25.40766920318

Inradius: r = 8.55876367104
Circumradius: R = 17.13443115448

Vertex coordinates: A[30; 0] B[0; 0] C[14.01766666667; 25.38876555742]
Centroid: CG[14.67222222222; 8.46325518581]
Coordinates of the circumscribed circle: U[15; 8.28215839133]
Coordinates of the inscribed circle: I[14.5; 8.55876367104]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.193333092° = 122°11'36″ = 1.00989167051 rad
∠ B' = β' = 118.903333454° = 118°54'12″ = 1.06663379743 rad
∠ C' = γ' = 118.903333454° = 118°54'12″ = 1.06663379743 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.