# 33 51 42 triangle

### Acute scalene triangle.

Sides: a = 33   b = 51   c = 42

Area: T = 690.1330422457
Perimeter: p = 126
Semiperimeter: s = 63

Angle ∠ A = α = 40.11991668984° = 40°7'9″ = 0.77002115555 rad
Angle ∠ B = β = 84.78440914295° = 84°47'3″ = 1.48797615488 rad
Angle ∠ C = γ = 55.0976741672° = 55°5'48″ = 0.96216195493 rad

Height: ha = 41.82660862095
Height: hb = 27.06439381355
Height: hc = 32.86333534503

Median: ma = 43.7066406853
Median: mb = 27.86112634315
Median: mc = 37.47699879904

Inradius: r = 10.95444511501
Circumradius: R = 25.60660295634

Vertex coordinates: A[42; 0] B[0; 0] C[3; 32.86333534503]
Centroid: CG[15; 10.95444511501]
Coordinates of the circumscribed circle: U[21; 14.65215784133]
Coordinates of the inscribed circle: I[12; 10.95444511501]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.8810833102° = 139°52'51″ = 0.77002115555 rad
∠ B' = β' = 95.21659085705° = 95°12'57″ = 1.48797615488 rad
∠ C' = γ' = 124.9033258328° = 124°54'12″ = 0.96216195493 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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