78 110 90 triangle

Acute scalene triangle.

Sides: a = 78   b = 110   c = 90

Area: T = 3471.118783148
Perimeter: p = 278
Semiperimeter: s = 139

Angle ∠ A = α = 44.52662467768° = 44°31'34″ = 0.77771296098 rad
Angle ∠ B = β = 81.46438696679° = 81°27'50″ = 1.42218127471 rad
Angle ∠ C = γ = 54.01098835553° = 54°36″ = 0.94326502967 rad

Height: ha = 89.00330213199
Height: hb = 63.11112332996
Height: hc = 77.13659518106

Median: ma = 92.6232891339
Median: mb = 63.7733035054
Median: mc = 84.06554506917

Inradius: r = 24.97220707301
Circumradius: R = 55.61660895056

Vertex coordinates: A[90; 0] B[0; 0] C[11.57877777778; 77.13659518106]
Centroid: CG[33.85992592593; 25.71219839369]
Coordinates of the circumscribed circle: U[45; 32.68325551617]
Coordinates of the inscribed circle: I[29; 24.97220707301]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.4743753223° = 135°28'26″ = 0.77771296098 rad
∠ B' = β' = 98.53661303321° = 98°32'10″ = 1.42218127471 rad
∠ C' = γ' = 125.9990116445° = 125°59'24″ = 0.94326502967 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     