Triangle calculator SSS - result

Please enter the triangle sides:

Acute isosceles triangle.

Sides: a = 25   b = 25   c = 30

Area: T = 300
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 73.74397952917° = 73°44'23″ = 1.28770022176 rad

Height: ha = 24
Height: hb = 24
Height: hc = 20

Median: ma = 24.62221445045
Median: mb = 24.62221445045
Median: mc = 20

Inradius: r = 7.5
Circumradius: R = 15.625

Vertex coordinates: A[30; 0] B[0; 0] C[15; 20]
Centroid: CG[15; 6.66766666667]
Coordinates of the circumscribed circle: U[15; 4.375]
Coordinates of the inscribed circle: I[15; 7.5]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ C' = γ' = 106.2660204708° = 106°15'37″ = 1.28770022176 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     