# 10 24 29 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 24   c = 29

Area: T = 112.687734401
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 18.89437495493° = 18°53'37″ = 0.33297581377 rad
Angle ∠ B = β = 51.00107406628° = 51°3″ = 0.89901308455 rad
Angle ∠ C = γ = 110.1065509788° = 110°6'20″ = 1.92217036704 rad

Height: ha = 22.5377468802
Height: hb = 9.39106120008
Height: hc = 7.77215409662

Median: ma = 26.14438329248
Median: mb = 18.06993109996
Median: mc = 11.30326545555

Inradius: r = 3.57773760003
Circumradius: R = 15.44109531548

Vertex coordinates: A[29; 0] B[0; 0] C[6.29331034483; 7.77215409662]
Centroid: CG[11.76443678161; 2.59105136554]
Coordinates of the circumscribed circle: U[14.5; -5.3087827647]
Coordinates of the inscribed circle: I[7.5; 3.57773760003]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.1066250451° = 161°6'22″ = 0.33297581377 rad
∠ B' = β' = 128.9999259337° = 128°59'57″ = 0.89901308455 rad
∠ C' = γ' = 69.89444902121° = 69°53'40″ = 1.92217036704 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.