# 24 27 29 triangle

### Acute scalene triangle.

Sides: a = 24   b = 27   c = 29

Area: T = 302.5232726419
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 50.59994310494° = 50°35'58″ = 0.88331266714 rad
Angle ∠ B = β = 60.38795039651° = 60°22'46″ = 1.05438211449 rad
Angle ∠ C = γ = 69.02110649855° = 69°1'16″ = 1.20546448372 rad

Height: ha = 25.21102272016
Height: hb = 22.40990908459
Height: hc = 20.86436363048

Median: ma = 25.31879778023
Median: mb = 22.94401394939
Median: mc = 21.03297408448

Inradius: r = 7.56330681605
Circumradius: R = 15.52994118085

Vertex coordinates: A[29; 0] B[0; 0] C[11.86220689655; 20.86436363048]
Centroid: CG[13.62106896552; 6.95545454349]
Coordinates of the circumscribed circle: U[14.5; 5.56599128697]
Coordinates of the inscribed circle: I[13; 7.56330681605]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.4010568951° = 129°24'2″ = 0.88331266714 rad
∠ B' = β' = 119.6220496035° = 119°37'14″ = 1.05438211449 rad
∠ C' = γ' = 110.9798935015° = 110°58'44″ = 1.20546448372 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.