15 24 26 triangle

Acute scalene triangle.

Sides: a = 15   b = 24   c = 26

Area: T = 177.2676571863
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 34.62221618397° = 34°37'20″ = 0.60442707183 rad
Angle ∠ B = β = 65.37656816478° = 65°22'32″ = 1.14110208955 rad
Angle ∠ C = γ = 80.00221565124° = 80°8″ = 1.39663010398 rad

Height: ha = 23.6365542915
Height: hb = 14.77222143219
Height: hc = 13.63658901433

Median: ma = 23.86994365246
Median: mb = 17.50771414
Median: mc = 15.21551240547

Vertex coordinates: A[26; 0] B[0; 0] C[6.25; 13.63658901433]
Centroid: CG[10.75; 4.54552967144]
Coordinates of the circumscribed circle: U[13; 2.29217462426]
Coordinates of the inscribed circle: I[8.5; 5.45443560573]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.378783816° = 145°22'40″ = 0.60442707183 rad
∠ B' = β' = 114.6244318352° = 114°37'28″ = 1.14110208955 rad
∠ C' = γ' = 99.99878434876° = 99°59'52″ = 1.39663010398 rad

How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 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    