# 36 37 41 triangle

### Acute scalene triangle.

Sides: a = 36   b = 37   c = 41

Area: T = 618.9022253995
Perimeter: p = 114
Semiperimeter: s = 57

Angle ∠ A = α = 54.68219503538° = 54°40'55″ = 0.95443800751 rad
Angle ∠ B = β = 56.9954779568° = 56°59'41″ = 0.99547465599 rad
Angle ∠ C = γ = 68.32332700781° = 68°19'24″ = 1.19224660186 rad

Height: ha = 34.38334585553
Height: hb = 33.45441758916
Height: hc = 30.19903538534

Median: ma = 34.65554469023
Median: mb = 33.85663140345
Median: mc = 30.20334766211

Inradius: r = 10.85879342806
Circumradius: R = 22.06600262996

Vertex coordinates: A[41; 0] B[0; 0] C[19.61097560976; 30.19903538534]
Centroid: CG[20.20332520325; 10.06334512845]
Coordinates of the circumscribed circle: U[20.5; 8.14882980025]
Coordinates of the inscribed circle: I[20; 10.85879342806]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.3188049646° = 125°19'5″ = 0.95443800751 rad
∠ B' = β' = 123.0055220432° = 123°19″ = 0.99547465599 rad
∠ C' = γ' = 111.6776729922° = 111°40'36″ = 1.19224660186 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.