# 15 26 30 triangle

### Acute scalene triangle.

Sides: a = 15   b = 26   c = 30

Area: T = 1954.999839743
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 309.9999728141° = 30° = 0.52435983011 rad
Angle ∠ B = β = 60.07334833336° = 60°4'25″ = 1.04884800773 rad
Angle ∠ C = γ = 89.92765438523° = 89°55'36″ = 1.57695142752 rad

Height: ha = 265.9999786325
Height: hb = 154.9999876726
Height: hc = 132.9999893162

Median: ma = 27.05108779894
Median: mb = 19.83768344249
Median: mc = 15.01766574177

Inradius: r = 5.49329532322
Circumradius: R = 155.0000123274

Vertex coordinates: A[30; 0] B[0; 0] C[7.48333333333; 132.9999893162]
Centroid: CG[12.49444444444; 4.33333297721]
Coordinates of the circumscribed circle: U[15; 0.0199230785]
Coordinates of the inscribed circle: I[9.5; 5.49329532322]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 1500.000027186° = 150° = 0.52435983011 rad
∠ B' = β' = 119.9276516666° = 119°55'35″ = 1.04884800773 rad
∠ C' = γ' = 90.07334561477° = 90°4'24″ = 1.57695142752 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.