# 11 15 16 triangle

### Acute scalene triangle.

Sides: a = 11   b = 15   c = 16

Area: T = 79.37325393319
Perimeter: p = 42
Semiperimeter: s = 21

Angle ∠ A = α = 41.41096221093° = 41°24'35″ = 0.72327342478 rad
Angle ∠ B = β = 64.41769980226° = 64°25'1″ = 1.12442887097 rad
Angle ∠ C = γ = 74.17333798681° = 74°10'24″ = 1.2954569696 rad

Height: ha = 14.43113707876
Height: hb = 10.58330052443
Height: hc = 9.92215674165

Median: ma = 14.5
Median: mb = 11.5
Median: mc = 10.44403065089

Inradius: r = 3.78796447301
Circumradius: R = 8.31552184062

Vertex coordinates: A[16; 0] B[0; 0] C[4.75; 9.92215674165]
Centroid: CG[6.91766666667; 3.30771891388]
Coordinates of the circumscribed circle: U[8; 2.26877868381]
Coordinates of the inscribed circle: I[6; 3.78796447301]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.5990377891° = 138°35'25″ = 0.72327342478 rad
∠ B' = β' = 115.5833001977° = 115°34'59″ = 1.12442887097 rad
∠ C' = γ' = 105.8276620132° = 105°49'36″ = 1.2954569696 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.