# 24 29 30 triangle

### Acute scalene triangle.

Sides: a = 24   b = 29   c = 30

Area: T = 323.1077470511
Perimeter: p = 83
Semiperimeter: s = 41.5

Angle ∠ A = α = 47.9688410562° = 47°58'6″ = 0.83772067013 rad
Angle ∠ B = β = 63.83440707981° = 63°50'3″ = 1.11441147104 rad
Angle ∠ C = γ = 68.19875186399° = 68°11'51″ = 1.1990271242 rad

Height: ha = 26.92656225426
Height: hb = 22.28332738283
Height: hc = 21.54404980341

Median: ma = 26.95436639439
Median: mb = 22.97328100153
Median: mc = 21.98986334273

Inradius: r = 7.7865722181
Circumradius: R = 16.15656153182

Vertex coordinates: A[30; 0] B[0; 0] C[10.58333333333; 21.54404980341]
Centroid: CG[13.52877777778; 7.18801660114]
Coordinates of the circumscribed circle: U[15; 66.0003255169]
Coordinates of the inscribed circle: I[12.5; 7.7865722181]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.0321589438° = 132°1'54″ = 0.83772067013 rad
∠ B' = β' = 116.1665929202° = 116°9'57″ = 1.11441147104 rad
∠ C' = γ' = 111.802248136° = 111°48'9″ = 1.1990271242 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.