Triangle calculator SSS - result

Please enter the triangle sides:


Right scalene Pythagorean triangle.

Sides: a = 2.1   b = 1.26   c = 1.68

Area: T = 1.05884
Perimeter: p = 5.04
Semiperimeter: s = 2.52

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 1.008
Height: hb = 1.68
Height: hc = 1.26

Median: ma = 1.05
Median: mb = 1.79442407865
Median: mc = 1.51443315357

Inradius: r = 0.42
Circumradius: R = 1.05

Vertex coordinates: A[1.68; 0] B[0; 0] C[1.68; 1.26]
Centroid: CG[1.12; 0.42]
Coordinates of the circumscribed circle: U[0.84; 0.63]
Coordinates of the inscribed circle: I[1.26; 0.42]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ C' = γ' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad

Calculate another triangle


How did we calculate this triangle?

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

p = a+b+c = 2.1+1.26+1.68 = 5.04 ; ;

2. Semiperimeter of the triangle

s = fraction{ o }{ 2 } = fraction{ 5.04 }{ 2 } = 2.52 ; ;

3. The triangle area using Heron's formula

T = sqrt{ s(s-a)(s-b)(s-c) } ; ; T = sqrt{ 2.52 * (2.52-2.1)(2.52-1.26)(2.52-1.68) } ; ; T = sqrt{ 1.12 } = 1.06 ; ;

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

T = fraction{ a h _a }{ 2 } ; ; h _a = fraction{ 2 T }{ a } = fraction{ 2 * 1.06 }{ 2.1 } = 1.01 ; ; h _b = fraction{ 2 T }{ b } = fraction{ 2 * 1.06 }{ 1.26 } = 1.68 ; ; h _c = fraction{ 2 T }{ c } = fraction{ 2 * 1.06 }{ 1.68 } = 1.26 ; ;

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{ 1.26**2+1.68**2-2.1**2 }{ 2 * 1.26 * 1.68 } ) = 90° ; ; b**2 = a**2+c**2 - 2ac cos beta ; ; beta = arccos( fraction{ a**2+c**2-b**2 }{ 2ac } ) = arccos( fraction{ 2.1**2+1.68**2-1.26**2 }{ 2 * 2.1 * 1.68 } ) = 36° 52'12" ; ; gamma = 180° - alpha - beta = 180° - 90° - 36° 52'12" = 53° 7'48" ; ;

6. Inradius

T = rs ; ; r = fraction{ T }{ s } = fraction{ 1.06 }{ 2.52 } = 0.42 ; ;

7. Circumradius

R = fraction{ a }{ 2 * sin alpha } = fraction{ 2.1 }{ 2 * sin 90° } = 1.05 ; ;

8. Calculation of medians

m_a = fraction{ sqrt{ 2 b**2+2c**2 - a**2 } }{ 2 } = fraction{ sqrt{ 2 * 1.26**2+2 * 1.68**2 - 2.1**2 } }{ 2 } = 1.05 ; ; m_b = fraction{ sqrt{ 2 c**2+2a**2 - b**2 } }{ 2 } = fraction{ sqrt{ 2 * 1.68**2+2 * 2.1**2 - 1.26**2 } }{ 2 } = 1.794 ; ; m_c = fraction{ sqrt{ 2 b**2+2a**2 - c**2 } }{ 2 } = fraction{ sqrt{ 2 * 1.26**2+2 * 2.1**2 - 1.68**2 } }{ 2 } = 1.514 ; ;
Calculate another triangle

Look also our friend's collection of math examples and problems:

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