# 4 6 7 triangle

### Acute scalene triangle.

Sides: a = 4   b = 6   c = 7

Area: T = 11.9776539567
Perimeter: p = 17
Semiperimeter: s = 8.5

Angle ∠ A = α = 34.77219440319° = 34°46'19″ = 0.60768849107 rad
Angle ∠ B = β = 58.81113776665° = 58°48'41″ = 1.02664521779 rad
Angle ∠ C = γ = 86.41766783015° = 86°25' = 1.5088255565 rad

Height: ha = 5.98882697835
Height: hb = 3.99221798557
Height: hc = 3.42218684477

Median: ma = 6.2054836823
Median: mb = 4.84876798574
Median: mc = 3.70880992435

Inradius: r = 1.40990046549
Circumradius: R = 3.50768560301

Vertex coordinates: A[7; 0] B[0; 0] C[2.07114285714; 3.42218684477]
Centroid: CG[3.02438095238; 1.14106228159]
Coordinates of the circumscribed circle: U[3.5; 0.21991785019]
Coordinates of the inscribed circle: I[2.5; 1.40990046549]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.2288055968° = 145°13'41″ = 0.60768849107 rad
∠ B' = β' = 121.1898622333° = 121°11'19″ = 1.02664521779 rad
∠ C' = γ' = 93.58333216985° = 93°35' = 1.5088255565 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.