Triangle calculator SSS - result

Please enter the triangle side's lengths:

Acute scalene triangle.

Sides: a = 49   b = 44   c = 36.13

Area: T = 766.5921701117
Perimeter: p = 129.13
Semiperimeter: s = 64.565

Angle ∠ A = α = 74.67436859326° = 74°40'25″ = 1.30333016841 rad
Angle ∠ B = β = 609.999871072° = 60° = 1.0477195301 rad
Angle ∠ C = γ = 45.32664429954° = 45°19'35″ = 0.79110956685 rad

Height: ha = 31.28994571885
Height: hb = 34.84550773235
Height: hc = 42.4355189655

Median: ma = 31.94443023089
Median: mb = 37.0032546534
Median: mc = 42.92203422051

Inradius: r = 11.87331774354
Circumradius: R = 25.40334448477

Vertex coordinates: A[36.13; 0] B[0; 0] C[24.55000954885; 42.4355189655]
Centroid: CG[20.21100318295; 14.14550632183]
Coordinates of the circumscribed circle: U[18.065; 17.86603131307]
Coordinates of the inscribed circle: I[20.565; 11.87331774354]

Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 105.3266314067° = 105°19'35″ = 1.30333016841 rad
∠ B' = β' = 1200.000128928° = 120° = 1.0477195301 rad
∠ C' = γ' = 134.6743557005° = 134°40'25″ = 0.79110956685 rad

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How did we calculate this triangle?


p=a+b+c=49+44+36.13=129.13p = a+b+c = 49+44+36.13 = 129.13

2. Semiperimeter of the triangle


s=p2=129.132=64.57s = \dfrac{ p }{ 2 } = \dfrac{ 129.13 }{ 2 } = 64.57

3. The triangle area using Heron's formula


4. Calculate the heights of the triangle from its area.




6. Inradius


T=rs r=Ts=766.5964.57=11.87T = rs \ \\ r = \dfrac{ T }{ s } = \dfrac{ 766.59 }{ 64.57 } = 11.87

7. Circumradius


R=abc4 rs=49 44 36.134 11.873 64.565=25.4R = \dfrac{ a b c }{ 4 \ r s } = \dfrac{ 49 \cdot \ 44 \cdot \ 36.13 }{ 4 \cdot \ 11.873 \cdot \ 64.565 } = 25.4

8. Calculation of medians


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