# 40 42 58 triangle

### Right scalene triangle.

Sides: a = 40   b = 42   c = 58

Area: T = 840
Perimeter: p = 140
Semiperimeter: s = 70

Angle ∠ A = α = 43.60328189727° = 43°36'10″ = 0.76110127542 rad
Angle ∠ B = β = 46.39771810273° = 46°23'50″ = 0.81097835726 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 42
Height: hb = 40
Height: hc = 28.96655172414

Median: ma = 46.51988133985
Median: mb = 45.17774279923
Median: mc = 29

Inradius: r = 12
Circumradius: R = 29

Vertex coordinates: A[58; 0] B[0; 0] C[27.58662068966; 28.96655172414]
Centroid: CG[28.52987356322; 9.65551724138]
Coordinates of the circumscribed circle: U[29; 0]
Coordinates of the inscribed circle: I[28; 12]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.3977181027° = 136°23'50″ = 0.76110127542 rad
∠ B' = β' = 133.6032818973° = 133°36'10″ = 0.81097835726 rad
∠ C' = γ' = 90° = 1.57107963268 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.