# 100.3 75.9 90.2 triangle

### Acute scalene triangle.

Sides: a = 100.3   b = 75.9   c = 90.2

Area: T = 3285.955491326
Perimeter: p = 266.4
Semiperimeter: s = 133.2

Angle ∠ A = α = 73.72771576732° = 73°43'38″ = 1.28767816495 rad
Angle ∠ B = β = 46.58765922002° = 46°35'12″ = 0.81330894212 rad
Angle ∠ C = γ = 59.68662501266° = 59°41'11″ = 1.04217215829 rad

Height: ha = 65.52325306732
Height: hb = 86.5866427227
Height: hc = 72.85993107154

Median: ma = 66.58438005824
Median: mb = 87.50992138006
Median: mc = 76.65879415325

Inradius: r = 24.66993311807
Circumradius: R = 52.24329455155

Vertex coordinates: A[90.2; 0] B[0; 0] C[68.93219290466; 72.85993107154]
Centroid: CG[53.04439763489; 24.28664369051]
Coordinates of the circumscribed circle: U[45.1; 26.36988330446]
Coordinates of the inscribed circle: I[57.3; 24.66993311807]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 106.2732842327° = 106°16'22″ = 1.28767816495 rad
∠ B' = β' = 133.41334078° = 133°24'48″ = 0.81330894212 rad
∠ C' = γ' = 120.3143749873° = 120°18'49″ = 1.04217215829 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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