# 36 43.5 55.5 triangle

### Acute scalene triangle.

Sides: a = 36   b = 43.5   c = 55.5

Area: T = 782.5344344294
Perimeter: p = 135
Semiperimeter: s = 67.5

Angle ∠ A = α = 40.41107591034° = 40°24'39″ = 0.70553007996 rad
Angle ∠ B = β = 51.56553491823° = 51°33'55″ = 0.98999851232 rad
Angle ∠ C = γ = 88.02438917143° = 88°1'26″ = 1.53663067308 rad

Height: ha = 43.47441302386
Height: hb = 35.97985905423
Height: hc = 28.19994358304

Median: ma = 46.5
Median: mb = 41.41333130768
Median: mc = 28.70664888135

Inradius: r = 11.5933101397
Circumradius: R = 27.7676512944

Vertex coordinates: A[55.5; 0] B[0; 0] C[22.37883783784; 28.19994358304]
Centroid: CG[25.95994594595; 9.43998119435]
Coordinates of the circumscribed circle: U[27.75; 0.95774659636]
Coordinates of the inscribed circle: I[24; 11.5933101397]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.5899240897° = 139°35'21″ = 0.70553007996 rad
∠ B' = β' = 128.4354650818° = 128°26'5″ = 0.98999851232 rad
∠ C' = γ' = 91.97661082857° = 91°58'34″ = 1.53663067308 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:

See more informations about triangles or more information about solving triangles.