# 24 25 30 triangle

### Acute scalene triangle.

Sides: a = 24   b = 25   c = 30

Area: T = 290.4099086462
Perimeter: p = 79
Semiperimeter: s = 39.5

Angle ∠ A = α = 50.75328604588° = 50°45'10″ = 0.88658045198 rad
Angle ∠ B = β = 53.77439695691° = 53°46'26″ = 0.93985328208 rad
Angle ∠ C = γ = 75.47331699721° = 75°28'23″ = 1.31772553129 rad

Height: ha = 24.20107572052
Height: hb = 23.2332726917
Height: hc = 19.36106057642

Median: ma = 24.87696602309
Median: mb = 24.11994941904
Median: mc = 19.37878223751

Inradius: r = 7.35221287712
Circumradius: R = 15.49553829263

Vertex coordinates: A[30; 0] B[0; 0] C[14.18333333333; 19.36106057642]
Centroid: CG[14.72877777778; 6.45435352547]
Coordinates of the circumscribed circle: U[15; 3.88767585507]
Coordinates of the inscribed circle: I[14.5; 7.35221287712]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.2477139541° = 129°14'50″ = 0.88658045198 rad
∠ B' = β' = 126.2266030431° = 126°13'34″ = 0.93985328208 rad
∠ C' = γ' = 104.5276830028° = 104°31'37″ = 1.31772553129 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.