# 25 28 29 triangle

### Acute scalene triangle.

Sides: a = 25   b = 28   c = 29

Area: T = 319.989998437
Perimeter: p = 82
Semiperimeter: s = 41

Angle ∠ A = α = 51.99325780701° = 51°59'33″ = 0.90774416739 rad
Angle ∠ B = β = 61.94333176341° = 61°56'36″ = 1.08111148423 rad
Angle ∠ C = γ = 66.06441042958° = 66°3'51″ = 1.15330361373 rad

Height: ha = 25.59219987496
Height: hb = 22.85499988836
Height: hc = 22.06220678876

Median: ma = 25.61773769149
Median: mb = 23.17332604525
Median: mc = 22.23217340754

Inradius: r = 7.80224386432
Circumradius: R = 15.8644333379

Vertex coordinates: A[29; 0] B[0; 0] C[11.75986206897; 22.06220678876]
Centroid: CG[13.58662068966; 7.35440226292]
Coordinates of the circumscribed circle: U[14.5; 6.43663866852]
Coordinates of the inscribed circle: I[13; 7.80224386432]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.007742193° = 128°27″ = 0.90774416739 rad
∠ B' = β' = 118.0576682366° = 118°3'24″ = 1.08111148423 rad
∠ C' = γ' = 113.9365895704° = 113°56'9″ = 1.15330361373 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.