Triangle calculator SSS - result

Please enter the triangle sides:


Obtuse scalene triangle.

Sides: a = 1700   b = 1642.07   c = 439.99

Area: T = 361247.1989631
Perimeter: p = 3782.06
Semiperimeter: s = 1891.03

Angle ∠ A = α = 90.00105914001° = 90°2″ = 1.57108066487 rad
Angle ∠ B = β = 74.99994915284° = 74°59'58″ = 1.30989880645 rad
Angle ∠ C = γ = 154.9999170715° = 15° = 0.26217979404 rad

Height: ha = 424.9976693683
Height: hb = 439.9989999977
Height: hc = 1642.076999991

Median: ma = 849.9965613224
Median: mb = 931.5032618797
Median: mc = 1656.74435355

Inradius: r = 191.0321971799
Circumradius: R = 8500.000000045

Vertex coordinates: A[439.99; 0] B[0; 0] C[440.0076949249; 1642.076999991]
Centroid: CG[293.3322316416; 547.3576666637]
Coordinates of the circumscribed circle: U[219.995; 821.0377270806]
Coordinates of the inscribed circle: I[248.96; 191.0321971799]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 89.99994085999° = 89°59'58″ = 1.57108066487 rad
∠ B' = β' = 105.0010508472° = 105°2″ = 1.30989880645 rad
∠ C' = γ' = 1655.000082928° = 165° = 0.26217979404 rad

Calculate another triangle




How did we calculate this triangle?

a = 1700 ; ; b = 1642.07 ; ; c = 439.99 ; ;

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

p = a+b+c = 1700+1642.07+439.99 = 3782.06 ; ;

2. Semiperimeter of the triangle

s = fraction{ o }{ 2 } = fraction{ 3782.06 }{ 2 } = 1891.03 ; ;

3. The triangle area using Heron's formula

T = sqrt{ s(s-a)(s-b)(s-c) } ; ; T = sqrt{ 1891.03 * (1891.03-1700)(1891.03-1642.07)(1891.03-439.99) } ; ; T = sqrt{ 130499532016 } = 361247.19 ; ;

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

T = fraction{ a h _a }{ 2 } ; ; h _a = fraction{ 2 T }{ a } = fraction{ 2 * 361247.19 }{ 1700 } = 425 ; ; h _b = fraction{ 2 T }{ b } = fraction{ 2 * 361247.19 }{ 1642.07 } = 439.99 ; ; h _c = fraction{ 2 T }{ c } = fraction{ 2 * 361247.19 }{ 439.99 } = 1642.07 ; ;

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{ 1642.07**2+439.99**2-1700**2 }{ 2 * 1642.07 * 439.99 } ) = 90° 2" ; ; b**2 = a**2+c**2 - 2ac cos beta ; ; beta = arccos( fraction{ a**2+c**2-b**2 }{ 2ac } ) = arccos( fraction{ 1700**2+439.99**2-1642.07**2 }{ 2 * 1700 * 439.99 } ) = 74° 59'58" ; ; gamma = 180° - alpha - beta = 180° - 90° 2" - 74° 59'58" = 15° ; ;

6. Inradius

T = rs ; ; r = fraction{ T }{ s } = fraction{ 361247.19 }{ 1891.03 } = 191.03 ; ;

7. Circumradius

R = fraction{ a }{ 2 * sin alpha } = fraction{ 1700 }{ 2 * sin 90° 2" } = 850 ; ;

8. Calculation of medians

m_a = fraction{ sqrt{ 2 b**2+2c**2 - a**2 } }{ 2 } = fraction{ sqrt{ 2 * 1642.07**2+2 * 439.99**2 - 1700**2 } }{ 2 } = 849.996 ; ; m_b = fraction{ sqrt{ 2 c**2+2a**2 - b**2 } }{ 2 } = fraction{ sqrt{ 2 * 439.99**2+2 * 1700**2 - 1642.07**2 } }{ 2 } = 931.503 ; ; m_c = fraction{ sqrt{ 2 b**2+2a**2 - c**2 } }{ 2 } = fraction{ sqrt{ 2 * 1642.07**2+2 * 1700**2 - 439.99**2 } }{ 2 } = 1656.744 ; ;
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.