# 109 60 91 triangle

### Right scalene triangle.

Sides: a = 109   b = 60   c = 91

Area: T = 2730
Perimeter: p = 260
Semiperimeter: s = 130

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 33.3988488468° = 33°23'55″ = 0.5832913589 rad
Angle ∠ C = γ = 56.6021511532° = 56°36'5″ = 0.98878827378 rad

Height: ha = 50.09217431193
Height: hb = 91
Height: hc = 60

Median: ma = 54.5
Median: mb = 95.81875349297
Median: mc = 75.30110624095

Inradius: r = 21
Circumradius: R = 54.5

Vertex coordinates: A[91; 0] B[0; 0] C[91; 60]
Centroid: CG[60.66766666667; 20]
Coordinates of the circumscribed circle: U[45.5; 30]
Coordinates of the inscribed circle: I[70; 21]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 146.6021511532° = 146°36'5″ = 0.5832913589 rad
∠ C' = γ' = 123.3988488468° = 123°23'55″ = 0.98878827378 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.