# 26 29 30 triangle

### Acute scalene triangle.

Sides: a = 26   b = 29   c = 30

Area: T = 3443.999909157
Perimeter: p = 85
Semiperimeter: s = 42.5

Angle ∠ A = α = 52.26107465423° = 52°15'39″ = 0.91221220967 rad
Angle ∠ B = β = 61.89107787174° = 61°53'27″ = 1.08801978652 rad
Angle ∠ C = γ = 65.84884747403° = 65°50'54″ = 1.14992726916 rad

Height: ha = 26.46215314736
Height: hb = 23.7244131666
Height: hc = 22.93333272771

Median: ma = 26.48658452763
Median: mb = 24.03664306834
Median: mc = 23.09876189249

Inradius: r = 8.09441155096
Circumradius: R = 16.43989578295

Vertex coordinates: A[30; 0] B[0; 0] C[12.25; 22.93333272771]
Centroid: CG[14.08333333333; 7.64444424257]
Coordinates of the circumscribed circle: U[15; 6.72660192181]
Coordinates of the inscribed circle: I[13.5; 8.09441155096]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.7399253458° = 127°44'21″ = 0.91221220967 rad
∠ B' = β' = 118.1099221283° = 118°6'33″ = 1.08801978652 rad
∠ C' = γ' = 114.152152526° = 114°9'6″ = 1.14992726916 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.