# 33 56 65 triangle

### Right scalene triangle.

Sides: a = 33   b = 56   c = 65

Area: T = 924
Perimeter: p = 154
Semiperimeter: s = 77

Angle ∠ A = α = 30.51102374061° = 30°30'37″ = 0.53325040983 rad
Angle ∠ B = β = 59.49897625939° = 59°29'23″ = 1.03882922285 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 56
Height: hb = 33
Height: hc = 28.43107692308

Median: ma = 58.38802192528
Median: mb = 43.27881700168
Median: mc = 32.5

Inradius: r = 12
Circumradius: R = 32.5

Vertex coordinates: A[65; 0] B[0; 0] C[16.75438461538; 28.43107692308]
Centroid: CG[27.25112820513; 9.47769230769]
Coordinates of the circumscribed circle: U[32.5; 0]
Coordinates of the inscribed circle: I[21; 12]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.4989762594° = 149°29'23″ = 0.53325040983 rad
∠ B' = β' = 120.5110237406° = 120°30'37″ = 1.03882922285 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle? ### 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:

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