# 7 12 16 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 12   c = 16

Area: T = 38.93550420573
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 23.92770614889° = 23°55'37″ = 0.41876060033 rad
Angle ∠ B = β = 44.04986256741° = 44°2'55″ = 0.7698793549 rad
Angle ∠ C = γ = 112.0244312837° = 112°1'28″ = 1.95551931013 rad

Height: ha = 11.12442977306
Height: hb = 6.48991736762
Height: hc = 4.86768802572

Median: ma = 13.7022189606
Median: mb = 10.79435165725
Median: mc = 5.70108771255

Inradius: r = 2.22548595461
Circumradius: R = 8.63297582395

Vertex coordinates: A[16; 0] B[0; 0] C[5.031125; 4.86768802572]
Centroid: CG[7.01104166667; 1.62222934191]
Coordinates of the circumscribed circle: U[8; -3.23661593398]
Coordinates of the inscribed circle: I[5.5; 2.22548595461]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.0732938511° = 156°4'23″ = 0.41876060033 rad
∠ B' = β' = 135.9511374326° = 135°57'5″ = 0.7698793549 rad
∠ C' = γ' = 67.9765687163° = 67°58'32″ = 1.95551931013 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.