# 22 24 30 triangle

### Acute scalene triangle.

Sides: a = 22   b = 24   c = 30

Area: T = 260.9522102885
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 46.45877809718° = 46°27'28″ = 0.81108412411 rad
Angle ∠ B = β = 52.25769610468° = 52°15'25″ = 0.91220560274 rad
Angle ∠ C = γ = 81.28552579814° = 81°17'7″ = 1.41986953851 rad

Height: ha = 23.72329184441
Height: hb = 21.74660085737
Height: hc = 17.3976806859

Median: ma = 24.83994846967
Median: mb = 23.40993998214
Median: mc = 17.46442491966

Inradius: r = 6.86771606022
Circumradius: R = 15.17551986523

Vertex coordinates: A[30; 0] B[0; 0] C[13.46766666667; 17.3976806859]
Centroid: CG[14.48988888889; 5.79989356197]
Coordinates of the circumscribed circle: U[15; 2.29992725231]
Coordinates of the inscribed circle: I[14; 6.86771606022]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.5422219028° = 133°32'32″ = 0.81108412411 rad
∠ B' = β' = 127.7433038953° = 127°44'35″ = 0.91220560274 rad
∠ C' = γ' = 98.71547420186° = 98°42'53″ = 1.41986953851 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.