Triangle calculator SSS - result

Please enter the triangle sides:


Obtuse scalene triangle.

Sides: a = 1.06   b = 0.91   c = 1.97

Area: T = 02.05E-8
Perimeter: p = 3.94
Semiperimeter: s = 1.97

Angle ∠ A = α = 0° = 0 rad
Angle ∠ B = β = 0° = 0 rad
Angle ∠ C = γ = 1809.999998793° = 180° = 3.14215926325 rad

Height: ha = 03.88E-8
Height: hb = 04.51E-8
Height: hc = 02.09E-8

Median: ma = 1.44
Median: mb = 1.515
Median: mc = 0.075

Inradius: r = 01.04E-8
Circumradius: R = INF

Vertex coordinates: A[1.97; 0] B[0; 0] C[1.06; 0]
Centroid: CG[1.01; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.06; 0]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 180° = 0 rad
∠ B' = β' = 180° = 0 rad
∠ C' = γ' = 01.2074E-6° = 0° = 3.14215926325 rad

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How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides

p = a+b+c = 1.06+0.91+1.97 = 3.94 ; ;

2. Semiperimeter of the triangle

s = fraction{ o }{ 2 } = fraction{ 3.94 }{ 2 } = 1.97 ; ;

3. The triangle area using Heron's formula

T = sqrt{ s(s-a)(s-b)(s-c) } ; ; T = sqrt{ 1.97 * (1.97-1.06)(1.97-0.91)(1.97-1.97) } ; ; T = sqrt{ 0 } = 0 ; ;

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

T = fraction{ a h _a }{ 2 } ; ; h _a = fraction{ 2 T }{ a } = fraction{ 2 * 0 }{ 1.06 } = 0 ; ; h _b = fraction{ 2 T }{ b } = fraction{ 2 * 0 }{ 0.91 } = 0 ; ; h _c = fraction{ 2 T }{ c } = fraction{ 2 * 0 }{ 1.97 } = 0 ; ;

5. Calculation of the inner angles of the triangle using a Law of Cosines

a**2 = b**2+c**2 - 2bc cos alpha ; ; alpha = arccos( fraction{ b**2+c**2-a**2 }{ 2bc } ) = arccos( fraction{ 0.91**2+1.97**2-1.06**2 }{ 2 * 0.91 * 1.97 } ) = 0° ; ; b**2 = a**2+c**2 - 2ac cos beta ; ; beta = arccos( fraction{ a**2+c**2-b**2 }{ 2ac } ) = arccos( fraction{ 1.06**2+1.97**2-0.91**2 }{ 2 * 1.06 * 1.97 } ) = 0° ; ;
 gamma = 180° - alpha - beta = 180° - 0° - 0° = 180° ; ;

6. Inradius

T = rs ; ; r = fraction{ T }{ s } = fraction{ 0 }{ 1.97 } = 0 ; ;

7. Circumradius

R = fraction{ a }{ 2 * sin alpha } = fraction{ 1.06 }{ 2 * sin 0° } = INF ; ;

8. Calculation of medians

m_a = fraction{ sqrt{ 2 b**2+2c**2 - a**2 } }{ 2 } = fraction{ sqrt{ 2 * 0.91**2+2 * 1.97**2 - 1.06**2 } }{ 2 } = 1.44 ; ; m_b = fraction{ sqrt{ 2 c**2+2a**2 - b**2 } }{ 2 } = fraction{ sqrt{ 2 * 1.97**2+2 * 1.06**2 - 0.91**2 } }{ 2 } = 1.515 ; ; m_c = fraction{ sqrt{ 2 b**2+2a**2 - c**2 } }{ 2 } = fraction{ sqrt{ 2 * 0.91**2+2 * 1.06**2 - 1.97**2 } }{ 2 } = 0.075 ; ;
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