# 10 11 15 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 11   c = 15

Area: T = 54.99109083395
Perimeter: p = 36
Semiperimeter: s = 18

Angle ∠ A = α = 41.80218441931° = 41°48'7″ = 0.73295798146 rad
Angle ∠ B = β = 47.15663569564° = 47°9'23″ = 0.82330336921 rad
Angle ∠ C = γ = 91.04217988505° = 91°2'30″ = 1.58989791469 rad

Height: ha = 10.99881816679
Height: hb = 9.99883469708
Height: hc = 7.33221211119

Median: ma = 12.16655250606
Median: mb = 11.5
Median: mc = 7.36554599313

Inradius: r = 3.05550504633
Circumradius: R = 7.50112399769

Vertex coordinates: A[15; 0] B[0; 0] C[6.8; 7.33221211119]
Centroid: CG[7.26766666667; 2.44440403706]
Coordinates of the circumscribed circle: U[7.5; -0.13663861814]
Coordinates of the inscribed circle: I[7; 3.05550504633]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.1988155807° = 138°11'53″ = 0.73295798146 rad
∠ B' = β' = 132.8443643044° = 132°50'37″ = 0.82330336921 rad
∠ C' = γ' = 88.95882011495° = 88°57'30″ = 1.58989791469 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.