# 7 11 15 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 11   c = 15

Area: T = 35.96109162842
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 25.84219327632° = 25°50'31″ = 0.45110268118 rad
Angle ∠ B = β = 43.23332348092° = 43°14' = 0.75545622937 rad
Angle ∠ C = γ = 110.9254832428° = 110°55'29″ = 1.93660035481 rad

Height: ha = 10.27545475098
Height: hb = 6.53883484153
Height: hc = 4.79547888379

Median: ma = 12.67987223331
Median: mb = 10.33219891599
Median: mc = 5.36219026474

Inradius: r = 2.17994494718
Circumradius: R = 8.03295506855

Vertex coordinates: A[15; 0] B[0; 0] C[5.1; 4.79547888379]
Centroid: CG[6.7; 1.5988262946]
Coordinates of the circumscribed circle: U[7.5; -2.86876966734]
Coordinates of the inscribed circle: I[5.5; 2.17994494718]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.1588067237° = 154°9'29″ = 0.45110268118 rad
∠ B' = β' = 136.7676765191° = 136°46' = 0.75545622937 rad
∠ C' = γ' = 69.07551675724° = 69°4'31″ = 1.93660035481 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.