Triangle calculator SSS - result

Please enter the triangle sides:


Acute isosceles triangle.

Sides: a = 2   b = 16   c = 16

Area: T = 15.96987194227
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 7.16766433969° = 7°10' = 0.12550815236 rad
Angle ∠ B = β = 86.41766783015° = 86°25' = 1.5088255565 rad
Angle ∠ C = γ = 86.41766783015° = 86°25' = 1.5088255565 rad

Height: ha = 15.96987194227
Height: hb = 1.99660899278
Height: hc = 1.99660899278

Median: ma = 15.96987194227
Median: mb = 8.12440384046
Median: mc = 8.12440384046

Inradius: r = 0.93993364366
Circumradius: R = 8.01656709259

Vertex coordinates: A[16; 0] B[0; 0] C[0.125; 1.99660899278]
Centroid: CG[5.375; 0.66553633093]
Coordinates of the circumscribed circle: U[8; 0.50109794329]
Coordinates of the inscribed circle: I[1; 0.93993364366]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.8333356603° = 172°50' = 0.12550815236 rad
∠ B' = β' = 93.58333216985° = 93°35' = 1.5088255565 rad
∠ C' = γ' = 93.58333216985° = 93°35' = 1.5088255565 rad

Calculate another triangle




How did we calculate this triangle?

a = 2 ; ; b = 16 ; ; c = 16 ; ;

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

p = a+b+c = 2+16+16 = 34 ; ;

2. Semiperimeter of the triangle

s = fraction{ o }{ 2 } = fraction{ 34 }{ 2 } = 17 ; ;

3. The triangle area using Heron's formula

T = sqrt{ s(s-a)(s-b)(s-c) } ; ; T = sqrt{ 17 * (17-2)(17-16)(17-16) } ; ; T = sqrt{ 255 } = 15.97 ; ;

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

T = fraction{ a h _a }{ 2 } ; ; h _a = fraction{ 2 T }{ a } = fraction{ 2 * 15.97 }{ 2 } = 15.97 ; ; h _b = fraction{ 2 T }{ b } = fraction{ 2 * 15.97 }{ 16 } = 2 ; ; h _c = fraction{ 2 T }{ c } = fraction{ 2 * 15.97 }{ 16 } = 2 ; ;

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{ 16**2+16**2-2**2 }{ 2 * 16 * 16 } ) = 7° 10' ; ; b**2 = a**2+c**2 - 2ac cos beta ; ; beta = arccos( fraction{ a**2+c**2-b**2 }{ 2ac } ) = arccos( fraction{ 2**2+16**2-16**2 }{ 2 * 2 * 16 } ) = 86° 25' ; ; gamma = 180° - alpha - beta = 180° - 7° 10' - 86° 25' = 86° 25' ; ;

6. Inradius

T = rs ; ; r = fraction{ T }{ s } = fraction{ 15.97 }{ 17 } = 0.94 ; ;

7. Circumradius

R = fraction{ a }{ 2 * sin alpha } = fraction{ 2 }{ 2 * sin 7° 10' } = 8.02 ; ;

8. Calculation of medians

m_a = fraction{ sqrt{ 2 b**2+2c**2 - a**2 } }{ 2 } = fraction{ sqrt{ 2 * 16**2+2 * 16**2 - 2**2 } }{ 2 } = 15.969 ; ; m_b = fraction{ sqrt{ 2 c**2+2a**2 - b**2 } }{ 2 } = fraction{ sqrt{ 2 * 16**2+2 * 2**2 - 16**2 } }{ 2 } = 8.124 ; ; m_c = fraction{ sqrt{ 2 b**2+2a**2 - c**2 } }{ 2 } = fraction{ sqrt{ 2 * 16**2+2 * 2**2 - 16**2 } }{ 2 } = 8.124 ; ;
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.