# 7 10 12 triangle

### Acute scalene triangle.

Sides: a = 7   b = 10   c = 12

Area: T = 34.97876714491
Perimeter: p = 29
Semiperimeter: s = 14.5

Angle ∠ A = α = 35.65990876961° = 35°39'33″ = 0.62223684886 rad
Angle ∠ B = β = 56.38876254015° = 56°23'15″ = 0.98441497206 rad
Angle ∠ C = γ = 87.95332869023° = 87°57'12″ = 1.53550744444 rad

Height: ha = 9.9943620414
Height: hb = 6.99655342898
Height: hc = 5.83296119082

Median: ma = 10.47661634199
Median: mb = 8.45657672626
Median: mc = 6.2054836823

Inradius: r = 2.41222532034
Circumradius: R = 6.00438301951

Vertex coordinates: A[12; 0] B[0; 0] C[3.875; 5.83296119082]
Centroid: CG[5.29216666667; 1.94332039694]
Coordinates of the circumscribed circle: U[6; 0.2144422507]
Coordinates of the inscribed circle: I[4.5; 2.41222532034]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.3410912304° = 144°20'27″ = 0.62223684886 rad
∠ B' = β' = 123.6122374598° = 123°36'45″ = 0.98441497206 rad
∠ C' = γ' = 92.04767130977° = 92°2'48″ = 1.53550744444 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.