# 9 29 30 triangle

### Acute scalene triangle.

Sides: a = 9   b = 29   c = 30

Area: T = 130.3844048104
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 17.44215938563° = 17°26'30″ = 0.30444132396 rad
Angle ∠ B = β = 74.97438862409° = 74°58'26″ = 1.30985411679 rad
Angle ∠ C = γ = 87.58545199028° = 87°35'4″ = 1.52986382461 rad

Height: ha = 28.9744232912
Height: hb = 8.99220033175
Height: hc = 8.69222698736

Median: ma = 29.15990466236
Median: mb = 16.74106690428
Median: mc = 15.36222914957

Inradius: r = 3.83548249442
Circumradius: R = 15.01333396567

Vertex coordinates: A[30; 0] B[0; 0] C[2.33333333333; 8.69222698736]
Centroid: CG[10.77877777778; 2.89774232912]
Coordinates of the circumscribed circle: U[15; 0.63327461158]
Coordinates of the inscribed circle: I[5; 3.83548249442]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.5588406144° = 162°33'30″ = 0.30444132396 rad
∠ B' = β' = 105.0266113759° = 105°1'34″ = 1.30985411679 rad
∠ C' = γ' = 92.41554800972° = 92°24'56″ = 1.52986382461 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.